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Finding the Fourth Proportional to 572.52, 790.16 and 415.20

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Solution

The fourth proportional to 572.52, 790.16 and 415.20 is: 573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 790.16 = 415.20 : x
  2. Step 2: Convert to fraction form
    572.52/790.16 = 415.20/x
  3. Step 3: Cross multiply
    572.52x = 790.16 × 415.20
  4. Step 4: Simplify right side
    572.52x = 328,074.43
  5. Step 5: Solve for x
    x = 328,074.43/572.52
  6. Step 6: Final answer
    x = 573.04

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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.