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Finding the Fourth Proportional to 614.81, 921.05 and 491.66

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Solution

The fourth proportional to 614.81, 921.05 and 491.66 is: 736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.81 : 921.05 = 491.66 : x
  2. Step 2: Convert to fraction form
    614.81/921.05 = 491.66/x
  3. Step 3: Cross multiply
    614.81x = 921.05 × 491.66
  4. Step 4: Simplify right side
    614.81x = 452,840.98
  5. Step 5: Solve for x
    x = 452,840.98/614.81
  6. Step 6: Final answer
    x = 736.55

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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.