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Finding the Fourth Proportional to 572.55, 857.22 and 433.29

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Solution

The fourth proportional to 572.55, 857.22 and 433.29 is: 648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.55 : 857.22 = 433.29 : x
  2. Step 2: Convert to fraction form
    572.55/857.22 = 433.29/x
  3. Step 3: Cross multiply
    572.55x = 857.22 × 433.29
  4. Step 4: Simplify right side
    572.55x = 371,424.85
  5. Step 5: Solve for x
    x = 371,424.85/572.55
  6. Step 6: Final answer
    x = 648.72

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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.