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Finding the Fourth Proportional to 509.34, 700.98 and 378.12

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Solution

The fourth proportional to 509.34, 700.98 and 378.12 is: 520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.34 : 700.98 = 378.12 : x
  2. Step 2: Convert to fraction form
    509.34/700.98 = 378.12/x
  3. Step 3: Cross multiply
    509.34x = 700.98 × 378.12
  4. Step 4: Simplify right side
    509.34x = 265,054.56
  5. Step 5: Solve for x
    x = 265,054.56/509.34
  6. Step 6: Final answer
    x = 520.39

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Double scale
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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.