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Finding the Fourth Proportional to 484.17, 725.31 and 288.69

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Solution

The fourth proportional to 484.17, 725.31 and 288.69 is: 432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.17 : 725.31 = 288.69 : x
  2. Step 2: Convert to fraction form
    484.17/725.31 = 288.69/x
  3. Step 3: Cross multiply
    484.17x = 725.31 × 288.69
  4. Step 4: Simplify right side
    484.17x = 209,389.74
  5. Step 5: Solve for x
    x = 209,389.74/484.17
  6. Step 6: Final answer
    x = 432.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.