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Finding the Fourth Proportional to 602.53, 897.98 and 590.38

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Solution

The fourth proportional to 602.53, 897.98 and 590.38 is: 879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.53 : 897.98 = 590.38 : x
  2. Step 2: Convert to fraction form
    602.53/897.98 = 590.38/x
  3. Step 3: Cross multiply
    602.53x = 897.98 × 590.38
  4. Step 4: Simplify right side
    602.53x = 530,149.43
  5. Step 5: Solve for x
    x = 530,149.43/602.53
  6. Step 6: Final answer
    x = 879.87

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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.