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Finding the Fourth Proportional to 900.28, 1,349.61 and 322.75

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Solution

The fourth proportional to 900.28, 1,349.61 and 322.75 is: 483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.28 : 1,349.61 = 322.75 : x
  2. Step 2: Convert to fraction form
    900.28/1,349.61 = 322.75/x
  3. Step 3: Cross multiply
    900.28x = 1,349.61 × 322.75
  4. Step 4: Simplify right side
    900.28x = 435,586.63
  5. Step 5: Solve for x
    x = 435,586.63/900.28
  6. Step 6: Final answer
    x = 483.83

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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.