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Finding the Fourth Proportional to 585.57, 878.28 and 152.76

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Solution

The fourth proportional to 585.57, 878.28 and 152.76 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.57 : 878.28 = 152.76 : x
  2. Step 2: Convert to fraction form
    585.57/878.28 = 152.76/x
  3. Step 3: Cross multiply
    585.57x = 878.28 × 152.76
  4. Step 4: Simplify right side
    585.57x = 134,166.05
  5. Step 5: Solve for x
    x = 134,166.05/585.57
  6. Step 6: Final answer
    x = 229.12

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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.