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Finding the Fourth Proportional to 602.26, 898.31 and 584.04

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Solution

The fourth proportional to 602.26, 898.31 and 584.04 is: 871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.26 : 898.31 = 584.04 : x
  2. Step 2: Convert to fraction form
    602.26/898.31 = 584.04/x
  3. Step 3: Cross multiply
    602.26x = 898.31 × 584.04
  4. Step 4: Simplify right side
    602.26x = 524,646.05
  5. Step 5: Solve for x
    x = 524,646.05/602.26
  6. Step 6: Final answer
    x = 871.13

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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.