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Finding the Fourth Proportional to 652.13, 899.73 and 431.22

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Solution

The fourth proportional to 652.13, 899.73 and 431.22 is: 594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 899.73 = 431.22 : x
  2. Step 2: Convert to fraction form
    652.13/899.73 = 431.22/x
  3. Step 3: Cross multiply
    652.13x = 899.73 × 431.22
  4. Step 4: Simplify right side
    652.13x = 387,981.57
  5. Step 5: Solve for x
    x = 387,981.57/652.13
  6. Step 6: Final answer
    x = 594.95

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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.