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Finding the Fourth Proportional to 614.10, 922.08 and 498.66

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Solution

The fourth proportional to 614.10, 922.08 and 498.66 is: 748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.10 : 922.08 = 498.66 : x
  2. Step 2: Convert to fraction form
    614.10/922.08 = 498.66/x
  3. Step 3: Cross multiply
    614.10x = 922.08 × 498.66
  4. Step 4: Simplify right side
    614.10x = 459,804.41
  5. Step 5: Solve for x
    x = 459,804.41/614.10
  6. Step 6: Final answer
    x = 748.75

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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.