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Finding the Fourth Proportional to 900.61, 1,351.53 and 380.62

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Solution

The fourth proportional to 900.61, 1,351.53 and 380.62 is: 571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.61 : 1,351.53 = 380.62 : x
  2. Step 2: Convert to fraction form
    900.61/1,351.53 = 380.62/x
  3. Step 3: Cross multiply
    900.61x = 1,351.53 × 380.62
  4. Step 4: Simplify right side
    900.61x = 514,419.35
  5. Step 5: Solve for x
    x = 514,419.35/900.61
  6. Step 6: Final answer
    x = 571.19

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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.