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Finding the Fourth Proportional to 407.70, 611.01 and 291.87

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Solution

The fourth proportional to 407.70, 611.01 and 291.87 is: 437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 611.01 = 291.87 : x
  2. Step 2: Convert to fraction form
    407.70/611.01 = 291.87/x
  3. Step 3: Cross multiply
    407.70x = 611.01 × 291.87
  4. Step 4: Simplify right side
    407.70x = 178,335.49
  5. Step 5: Solve for x
    x = 178,335.49/407.70
  6. Step 6: Final answer
    x = 437.42

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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.