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Finding the Fourth Proportional to 509.17, 701.71 and 398.47

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Solution

The fourth proportional to 509.17, 701.71 and 398.47 is: 549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.17 : 701.71 = 398.47 : x
  2. Step 2: Convert to fraction form
    509.17/701.71 = 398.47/x
  3. Step 3: Cross multiply
    509.17x = 701.71 × 398.47
  4. Step 4: Simplify right side
    509.17x = 279,610.38
  5. Step 5: Solve for x
    x = 279,610.38/509.17
  6. Step 6: Final answer
    x = 549.15

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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.