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Finding the Fourth Proportional to 582.46, 869.45 and 539.63

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Solution

The fourth proportional to 582.46, 869.45 and 539.63 is: 805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.46 : 869.45 = 539.63 : x
  2. Step 2: Convert to fraction form
    582.46/869.45 = 539.63/x
  3. Step 3: Cross multiply
    582.46x = 869.45 × 539.63
  4. Step 4: Simplify right side
    582.46x = 469,178.61
  5. Step 5: Solve for x
    x = 469,178.61/582.46
  6. Step 6: Final answer
    x = 805.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.