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Finding the Fourth Proportional to 900.63, 1,351.46 and 380.59

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Solution

The fourth proportional to 900.63, 1,351.46 and 380.59 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.63 : 1,351.46 = 380.59 : x
  2. Step 2: Convert to fraction form
    900.63/1,351.46 = 380.59/x
  3. Step 3: Cross multiply
    900.63x = 1,351.46 × 380.59
  4. Step 4: Simplify right side
    900.63x = 514,349.73
  5. Step 5: Solve for x
    x = 514,349.73/900.63
  6. Step 6: Final answer
    x = 571.10

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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.