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Finding the Fourth Proportional to 473.43, 652.35 and 391.11

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Solution

The fourth proportional to 473.43, 652.35 and 391.11 is: 538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.43 : 652.35 = 391.11 : x
  2. Step 2: Convert to fraction form
    473.43/652.35 = 391.11/x
  3. Step 3: Cross multiply
    473.43x = 652.35 × 391.11
  4. Step 4: Simplify right side
    473.43x = 255,140.61
  5. Step 5: Solve for x
    x = 255,140.61/473.43
  6. Step 6: Final answer
    x = 538.92

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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.