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Finding the Fourth Proportional to 1,534.29, 2,301.81 and 438.66

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Solution

The fourth proportional to 1,534.29, 2,301.81 and 438.66 is: 658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.29 : 2,301.81 = 438.66 : x
  2. Step 2: Convert to fraction form
    1,534.29/2,301.81 = 438.66/x
  3. Step 3: Cross multiply
    1,534.29x = 2,301.81 × 438.66
  4. Step 4: Simplify right side
    1,534.29x = 1,009,711.97
  5. Step 5: Solve for x
    x = 1,009,711.97/1,534.29
  6. Step 6: Final answer
    x = 658.10

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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.