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Finding the Fourth Proportional to 585.60, 807.20 and 460.96

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Solution

The fourth proportional to 585.60, 807.20 and 460.96 is: 635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 807.20 = 460.96 : x
  2. Step 2: Convert to fraction form
    585.60/807.20 = 460.96/x
  3. Step 3: Cross multiply
    585.60x = 807.20 × 460.96
  4. Step 4: Simplify right side
    585.60x = 372,086.91
  5. Step 5: Solve for x
    x = 372,086.91/585.60
  6. Step 6: Final answer
    x = 635.39

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1.5x scale

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.