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Finding the Fourth Proportional to 585.76, 878.64 and 152.88

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Solution

The fourth proportional to 585.76, 878.64 and 152.88 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.76 : 878.64 = 152.88 : x
  2. Step 2: Convert to fraction form
    585.76/878.64 = 152.88/x
  3. Step 3: Cross multiply
    585.76x = 878.64 × 152.88
  4. Step 4: Simplify right side
    585.76x = 134,326.48
  5. Step 5: Solve for x
    x = 134,326.48/585.76
  6. Step 6: Final answer
    x = 229.32

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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.