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Finding the Fourth Proportional to 652.22, 899.95 and 431.06

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Solution

The fourth proportional to 652.22, 899.95 and 431.06 is: 594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.22 : 899.95 = 431.06 : x
  2. Step 2: Convert to fraction form
    652.22/899.95 = 431.06/x
  3. Step 3: Cross multiply
    652.22x = 899.95 × 431.06
  4. Step 4: Simplify right side
    652.22x = 387,927.68
  5. Step 5: Solve for x
    x = 387,927.68/652.22
  6. Step 6: Final answer
    x = 594.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.