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Finding the Fourth Proportional to 506.71, 699.31 and 296.89

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Solution

The fourth proportional to 506.71, 699.31 and 296.89 is: 409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.71 : 699.31 = 296.89 : x
  2. Step 2: Convert to fraction form
    506.71/699.31 = 296.89/x
  3. Step 3: Cross multiply
    506.71x = 699.31 × 296.89
  4. Step 4: Simplify right side
    506.71x = 207,615.10
  5. Step 5: Solve for x
    x = 207,615.10/506.71
  6. Step 6: Final answer
    x = 409.74

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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.