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Finding the Fourth Proportional to 572.34, 857.89 and 418.92

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Solution

The fourth proportional to 572.34, 857.89 and 418.92 is: 627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.34 : 857.89 = 418.92 : x
  2. Step 2: Convert to fraction form
    572.34/857.89 = 418.92/x
  3. Step 3: Cross multiply
    572.34x = 857.89 × 418.92
  4. Step 4: Simplify right side
    572.34x = 359,387.28
  5. Step 5: Solve for x
    x = 359,387.28/572.34
  6. Step 6: Final answer
    x = 627.93

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