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Finding the Fourth Proportional to 585.60, 807.36 and 485.76

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Solution

The fourth proportional to 585.60, 807.36 and 485.76 is: 669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 807.36 = 485.76 : x
  2. Step 2: Convert to fraction form
    585.60/807.36 = 485.76/x
  3. Step 3: Cross multiply
    585.60x = 807.36 × 485.76
  4. Step 4: Simplify right side
    585.60x = 392,183.19
  5. Step 5: Solve for x
    x = 392,183.19/585.60
  6. Step 6: Final answer
    x = 669.71

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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.