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Finding the Fourth Proportional to 509.02, 700.75 and 440.03

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Solution

The fourth proportional to 509.02, 700.75 and 440.03 is: 605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.02 : 700.75 = 440.03 : x
  2. Step 2: Convert to fraction form
    509.02/700.75 = 440.03/x
  3. Step 3: Cross multiply
    509.02x = 700.75 × 440.03
  4. Step 4: Simplify right side
    509.02x = 308,353.32
  5. Step 5: Solve for x
    x = 308,353.32/509.02
  6. Step 6: Final answer
    x = 605.78

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.