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Finding the Fourth Proportional to 592.52, 818.34 and 584.42

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Solution

The fourth proportional to 592.52, 818.34 and 584.42 is: 807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.52 : 818.34 = 584.42 : x
  2. Step 2: Convert to fraction form
    592.52/818.34 = 584.42/x
  3. Step 3: Cross multiply
    592.52x = 818.34 × 584.42
  4. Step 4: Simplify right side
    592.52x = 478,254.26
  5. Step 5: Solve for x
    x = 478,254.26/592.52
  6. Step 6: Final answer
    x = 807.15

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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.