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Finding the Fourth Proportional to 581.76, 871.68 and 307.56

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Solution

The fourth proportional to 581.76, 871.68 and 307.56 is: 460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 871.68 = 307.56 : x
  2. Step 2: Convert to fraction form
    581.76/871.68 = 307.56/x
  3. Step 3: Cross multiply
    581.76x = 871.68 × 307.56
  4. Step 4: Simplify right side
    581.76x = 268,093.90
  5. Step 5: Solve for x
    x = 268,093.90/581.76
  6. Step 6: Final answer
    x = 460.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.