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Finding the Fourth Proportional to 592.52, 818.08 and 383.20

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Solution

The fourth proportional to 592.52, 818.08 and 383.20 is: 529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.52 : 818.08 = 383.20 : x
  2. Step 2: Convert to fraction form
    592.52/818.08 = 383.20/x
  3. Step 3: Cross multiply
    592.52x = 818.08 × 383.20
  4. Step 4: Simplify right side
    592.52x = 313,491.26
  5. Step 5: Solve for x
    x = 313,491.26/592.52
  6. Step 6: Final answer
    x = 529.08

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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.