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Finding the Fourth Proportional to 592.40, 886.20 and 534.80

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Solution

The fourth proportional to 592.40, 886.20 and 534.80 is: 800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.40 : 886.20 = 534.80 : x
  2. Step 2: Convert to fraction form
    592.40/886.20 = 534.80/x
  3. Step 3: Cross multiply
    592.40x = 886.20 × 534.80
  4. Step 4: Simplify right side
    592.40x = 473,939.76
  5. Step 5: Solve for x
    x = 473,939.76/592.40
  6. Step 6: Final answer
    x = 800.03

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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.