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Finding the Fourth Proportional to 572.52, 857.52 and 462.36

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Solution

The fourth proportional to 572.52, 857.52 and 462.36 is: 692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 857.52 = 462.36 : x
  2. Step 2: Convert to fraction form
    572.52/857.52 = 462.36/x
  3. Step 3: Cross multiply
    572.52x = 857.52 × 462.36
  4. Step 4: Simplify right side
    572.52x = 396,482.95
  5. Step 5: Solve for x
    x = 396,482.95/572.52
  6. Step 6: Final answer
    x = 692.52

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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.