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Finding the Fourth Proportional to 637.34, 879.93 and 497.21

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Solution

The fourth proportional to 637.34, 879.93 and 497.21 is: 686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.34 : 879.93 = 497.21 : x
  2. Step 2: Convert to fraction form
    637.34/879.93 = 497.21/x
  3. Step 3: Cross multiply
    637.34x = 879.93 × 497.21
  4. Step 4: Simplify right side
    637.34x = 437,505.60
  5. Step 5: Solve for x
    x = 437,505.60/637.34
  6. Step 6: Final answer
    x = 686.46

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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.