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Finding the Fourth Proportional to 592.49, 886.61 and 410.02

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Solution

The fourth proportional to 592.49, 886.61 and 410.02 is: 613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.49 : 886.61 = 410.02 : x
  2. Step 2: Convert to fraction form
    592.49/886.61 = 410.02/x
  3. Step 3: Cross multiply
    592.49x = 886.61 × 410.02
  4. Step 4: Simplify right side
    592.49x = 363,526.64
  5. Step 5: Solve for x
    x = 363,526.64/592.49
  6. Step 6: Final answer
    x = 613.55

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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.