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Finding the Fourth Proportional to 585.60, 808.24 and 352.88

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Solution

The fourth proportional to 585.60, 808.24 and 352.88 is: 487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 808.24 = 352.88 : x
  2. Step 2: Convert to fraction form
    585.60/808.24 = 352.88/x
  3. Step 3: Cross multiply
    585.60x = 808.24 × 352.88
  4. Step 4: Simplify right side
    585.60x = 285,211.73
  5. Step 5: Solve for x
    x = 285,211.73/585.60
  6. Step 6: Final answer
    x = 487.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.