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Finding the Fourth Proportional to 956.72, 1,434.52 and 307.28

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Solution

The fourth proportional to 956.72, 1,434.52 and 307.28 is: 460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.72 : 1,434.52 = 307.28 : x
  2. Step 2: Convert to fraction form
    956.72/1,434.52 = 307.28/x
  3. Step 3: Cross multiply
    956.72x = 1,434.52 × 307.28
  4. Step 4: Simplify right side
    956.72x = 440,799.31
  5. Step 5: Solve for x
    x = 440,799.31/956.72
  6. Step 6: Final answer
    x = 460.74

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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.