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Finding the Fourth Proportional to 602.40, 901.31 and 397.47

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Solution

The fourth proportional to 602.40, 901.31 and 397.47 is: 594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 901.31 = 397.47 : x
  2. Step 2: Convert to fraction form
    602.40/901.31 = 397.47/x
  3. Step 3: Cross multiply
    602.40x = 901.31 × 397.47
  4. Step 4: Simplify right side
    602.40x = 358,241.70
  5. Step 5: Solve for x
    x = 358,241.70/602.40
  6. Step 6: Final answer
    x = 594.69

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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.