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Finding the Fourth Proportional to 614.07, 921.51 and 452.88

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Solution

The fourth proportional to 614.07, 921.51 and 452.88 is: 679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.07 : 921.51 = 452.88 : x
  2. Step 2: Convert to fraction form
    614.07/921.51 = 452.88/x
  3. Step 3: Cross multiply
    614.07x = 921.51 × 452.88
  4. Step 4: Simplify right side
    614.07x = 417,333.45
  5. Step 5: Solve for x
    x = 417,333.45/614.07
  6. Step 6: Final answer
    x = 679.62

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