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Finding the Fourth Proportional to 614.74, 849.54 and 496.48

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Solution

The fourth proportional to 614.74, 849.54 and 496.48 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.74 : 849.54 = 496.48 : x
  2. Step 2: Convert to fraction form
    614.74/849.54 = 496.48/x
  3. Step 3: Cross multiply
    614.74x = 849.54 × 496.48
  4. Step 4: Simplify right side
    614.74x = 421,779.62
  5. Step 5: Solve for x
    x = 421,779.62/614.74
  6. Step 6: Final answer
    x = 686.11

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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.