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Finding the Fourth Proportional to 584.27, 872.60 and 496.67

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Solution

The fourth proportional to 584.27, 872.60 and 496.67 is: 741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.27 : 872.60 = 496.67 : x
  2. Step 2: Convert to fraction form
    584.27/872.60 = 496.67/x
  3. Step 3: Cross multiply
    584.27x = 872.60 × 496.67
  4. Step 4: Simplify right side
    584.27x = 433,387.40
  5. Step 5: Solve for x
    x = 433,387.40/584.27
  6. Step 6: Final answer
    x = 741.77

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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.