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Finding the Fourth Proportional to 966.06, 1,449.14 and 349.56

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Solution

The fourth proportional to 966.06, 1,449.14 and 349.56 is: 524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.06 : 1,449.14 = 349.56 : x
  2. Step 2: Convert to fraction form
    966.06/1,449.14 = 349.56/x
  3. Step 3: Cross multiply
    966.06x = 1,449.14 × 349.56
  4. Step 4: Simplify right side
    966.06x = 506,559.63
  5. Step 5: Solve for x
    x = 506,559.63/966.06
  6. Step 6: Final answer
    x = 524.36

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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.