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Finding the Fourth Proportional to 400.87, 602.25 and 349.84

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Solution

The fourth proportional to 400.87, 602.25 and 349.84 is: 525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.87 : 602.25 = 349.84 : x
  2. Step 2: Convert to fraction form
    400.87/602.25 = 349.84/x
  3. Step 3: Cross multiply
    400.87x = 602.25 × 349.84
  4. Step 4: Simplify right side
    400.87x = 210,691.14
  5. Step 5: Solve for x
    x = 210,691.14/400.87
  6. Step 6: Final answer
    x = 525.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.