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Finding the Fourth Proportional to 592.69, 818.63 and 538.02

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Solution

The fourth proportional to 592.69, 818.63 and 538.02 is: 743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.69 : 818.63 = 538.02 : x
  2. Step 2: Convert to fraction form
    592.69/818.63 = 538.02/x
  3. Step 3: Cross multiply
    592.69x = 818.63 × 538.02
  4. Step 4: Simplify right side
    592.69x = 440,439.31
  5. Step 5: Solve for x
    x = 440,439.31/592.69
  6. Step 6: Final answer
    x = 743.12

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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.