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Finding the Fourth Proportional to 642.24, 959.28 and 570.56

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Solution

The fourth proportional to 642.24, 959.28 and 570.56 is: 852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 959.28 = 570.56 : x
  2. Step 2: Convert to fraction form
    642.24/959.28 = 570.56/x
  3. Step 3: Cross multiply
    642.24x = 959.28 × 570.56
  4. Step 4: Simplify right side
    642.24x = 547,326.80
  5. Step 5: Solve for x
    x = 547,326.80/642.24
  6. Step 6: Final answer
    x = 852.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.