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Finding the Fourth Proportional to 585.08, 807.05 and 460.55

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Solution

The fourth proportional to 585.08, 807.05 and 460.55 is: 635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.08 : 807.05 = 460.55 : x
  2. Step 2: Convert to fraction form
    585.08/807.05 = 460.55/x
  3. Step 3: Cross multiply
    585.08x = 807.05 × 460.55
  4. Step 4: Simplify right side
    585.08x = 371,680.54
  5. Step 5: Solve for x
    x = 371,680.54/585.08
  6. Step 6: Final answer
    x = 635.27

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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.