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Finding the Fourth Proportional to 509.14, 700.33 and 425.06

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Solution

The fourth proportional to 509.14, 700.33 and 425.06 is: 584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.14 : 700.33 = 425.06 : x
  2. Step 2: Convert to fraction form
    509.14/700.33 = 425.06/x
  3. Step 3: Cross multiply
    509.14x = 700.33 × 425.06
  4. Step 4: Simplify right side
    509.14x = 297,685.07
  5. Step 5: Solve for x
    x = 297,685.07/509.14
  6. Step 6: Final answer
    x = 584.69

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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.