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Finding the Fourth Proportional to 583.76, 871.85 and 496.17

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Solution

The fourth proportional to 583.76, 871.85 and 496.17 is: 741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.76 : 871.85 = 496.17 : x
  2. Step 2: Convert to fraction form
    583.76/871.85 = 496.17/x
  3. Step 3: Cross multiply
    583.76x = 871.85 × 496.17
  4. Step 4: Simplify right side
    583.76x = 432,585.81
  5. Step 5: Solve for x
    x = 432,585.81/583.76
  6. Step 6: Final answer
    x = 741.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.