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Finding the Fourth Proportional to 582.68, 802.86 and 523.55

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Solution

The fourth proportional to 582.68, 802.86 and 523.55 is: 721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.68 : 802.86 = 523.55 : x
  2. Step 2: Convert to fraction form
    582.68/802.86 = 523.55/x
  3. Step 3: Cross multiply
    582.68x = 802.86 × 523.55
  4. Step 4: Simplify right side
    582.68x = 420,337.35
  5. Step 5: Solve for x
    x = 420,337.35/582.68
  6. Step 6: Final answer
    x = 721.39

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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.