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Finding the Fourth Proportional to 432.71, 597 and 246.14

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Solution

The fourth proportional to 432.71, 597 and 246.14 is: 339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.71 : 597 = 246.14 : x
  2. Step 2: Convert to fraction form
    432.71/597 = 246.14/x
  3. Step 3: Cross multiply
    432.71x = 597 × 246.14
  4. Step 4: Simplify right side
    432.71x = 146,945.58
  5. Step 5: Solve for x
    x = 146,945.58/432.71
  6. Step 6: Final answer
    x = 339.59

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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.