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Finding the Fourth Proportional to 585.61, 807.22 and 461.08

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Solution

The fourth proportional to 585.61, 807.22 and 461.08 is: 635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.61 : 807.22 = 461.08 : x
  2. Step 2: Convert to fraction form
    585.61/807.22 = 461.08/x
  3. Step 3: Cross multiply
    585.61x = 807.22 × 461.08
  4. Step 4: Simplify right side
    585.61x = 372,187.45
  5. Step 5: Solve for x
    x = 372,187.45/585.61
  6. Step 6: Final answer
    x = 635.55

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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.