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Finding the Fourth Proportional to 572.19, 852.96 and 565.71

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Solution

The fourth proportional to 572.19, 852.96 and 565.71 is: 843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.19 : 852.96 = 565.71 : x
  2. Step 2: Convert to fraction form
    572.19/852.96 = 565.71/x
  3. Step 3: Cross multiply
    572.19x = 852.96 × 565.71
  4. Step 4: Simplify right side
    572.19x = 482,528.00
  5. Step 5: Solve for x
    x = 482,528.00/572.19
  6. Step 6: Final answer
    x = 843.30

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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.