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Finding the Fourth Proportional to 585.18, 807.76 and 461.40

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Solution

The fourth proportional to 585.18, 807.76 and 461.40 is: 636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.18 : 807.76 = 461.40 : x
  2. Step 2: Convert to fraction form
    585.18/807.76 = 461.40/x
  3. Step 3: Cross multiply
    585.18x = 807.76 × 461.40
  4. Step 4: Simplify right side
    585.18x = 372,700.46
  5. Step 5: Solve for x
    x = 372,700.46/585.18
  6. Step 6: Final answer
    x = 636.90

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