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Finding the Fourth Proportional to 900.11, 1,349.39 and 380.52

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Solution

The fourth proportional to 900.11, 1,349.39 and 380.52 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.11 : 1,349.39 = 380.52 : x
  2. Step 2: Convert to fraction form
    900.11/1,349.39 = 380.52/x
  3. Step 3: Cross multiply
    900.11x = 1,349.39 × 380.52
  4. Step 4: Simplify right side
    900.11x = 513,467.98
  5. Step 5: Solve for x
    x = 513,467.98/900.11
  6. Step 6: Final answer
    x = 570.45

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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.