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Finding the Fourth Proportional to 966.40, 1,448.64 and 349.76

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Solution

The fourth proportional to 966.40, 1,448.64 and 349.76 is: 524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.40 : 1,448.64 = 349.76 : x
  2. Step 2: Convert to fraction form
    966.40/1,448.64 = 349.76/x
  3. Step 3: Cross multiply
    966.40x = 1,448.64 × 349.76
  4. Step 4: Simplify right side
    966.40x = 506,676.33
  5. Step 5: Solve for x
    x = 506,676.33/966.40
  6. Step 6: Final answer
    x = 524.29

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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.