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Finding the Fourth Proportional to 644.62, 889.80 and 497.08

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Solution

The fourth proportional to 644.62, 889.80 and 497.08 is: 686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.62 : 889.80 = 497.08 : x
  2. Step 2: Convert to fraction form
    644.62/889.80 = 497.08/x
  3. Step 3: Cross multiply
    644.62x = 889.80 × 497.08
  4. Step 4: Simplify right side
    644.62x = 442,301.78
  5. Step 5: Solve for x
    x = 442,301.78/644.62
  6. Step 6: Final answer
    x = 686.14

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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.