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Finding the Fourth Proportional to 572.51, 858.92 and 280.17

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Solution

The fourth proportional to 572.51, 858.92 and 280.17 is: 420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.51 : 858.92 = 280.17 : x
  2. Step 2: Convert to fraction form
    572.51/858.92 = 280.17/x
  3. Step 3: Cross multiply
    572.51x = 858.92 × 280.17
  4. Step 4: Simplify right side
    572.51x = 240,642.22
  5. Step 5: Solve for x
    x = 240,642.22/572.51
  6. Step 6: Final answer
    x = 420.33

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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.