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Finding the Fourth Proportional to 614.34, 921.86 and 354.72

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Solution

The fourth proportional to 614.34, 921.86 and 354.72 is: 532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.34 : 921.86 = 354.72 : x
  2. Step 2: Convert to fraction form
    614.34/921.86 = 354.72/x
  3. Step 3: Cross multiply
    614.34x = 921.86 × 354.72
  4. Step 4: Simplify right side
    614.34x = 327,002.18
  5. Step 5: Solve for x
    x = 327,002.18/614.34
  6. Step 6: Final answer
    x = 532.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.