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Finding the Fourth Proportional to 583.58, 878.08 and 463.16

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Solution

The fourth proportional to 583.58, 878.08 and 463.16 is: 696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.58 : 878.08 = 463.16 : x
  2. Step 2: Convert to fraction form
    583.58/878.08 = 463.16/x
  3. Step 3: Cross multiply
    583.58x = 878.08 × 463.16
  4. Step 4: Simplify right side
    583.58x = 406,691.53
  5. Step 5: Solve for x
    x = 406,691.53/583.58
  6. Step 6: Final answer
    x = 696.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.