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Finding the Fourth Proportional to 592.42, 886.80 and 542.02

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Solution

The fourth proportional to 592.42, 886.80 and 542.02 is: 811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.42 : 886.80 = 542.02 : x
  2. Step 2: Convert to fraction form
    592.42/886.80 = 542.02/x
  3. Step 3: Cross multiply
    592.42x = 886.80 × 542.02
  4. Step 4: Simplify right side
    592.42x = 480,663.34
  5. Step 5: Solve for x
    x = 480,663.34/592.42
  6. Step 6: Final answer
    x = 811.36

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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.