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Finding the Fourth Proportional to 583.59, 873.94 and 463.31

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Solution

The fourth proportional to 583.59, 873.94 and 463.31 is: 693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.59 : 873.94 = 463.31 : x
  2. Step 2: Convert to fraction form
    583.59/873.94 = 463.31/x
  3. Step 3: Cross multiply
    583.59x = 873.94 × 463.31
  4. Step 4: Simplify right side
    583.59x = 404,905.14
  5. Step 5: Solve for x
    x = 404,905.14/583.59
  6. Step 6: Final answer
    x = 693.82

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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.