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Finding the Fourth Proportional to 581.76, 871.20 and 570.12

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Solution

The fourth proportional to 581.76, 871.20 and 570.12 is: 853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 871.20 = 570.12 : x
  2. Step 2: Convert to fraction form
    581.76/871.20 = 570.12/x
  3. Step 3: Cross multiply
    581.76x = 871.20 × 570.12
  4. Step 4: Simplify right side
    581.76x = 496,688.54
  5. Step 5: Solve for x
    x = 496,688.54/581.76
  6. Step 6: Final answer
    x = 853.77

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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.