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Finding the Fourth Proportional to 956.86, 1,434.95 and 307.42

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Solution

The fourth proportional to 956.86, 1,434.95 and 307.42 is: 461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.86 : 1,434.95 = 307.42 : x
  2. Step 2: Convert to fraction form
    956.86/1,434.95 = 307.42/x
  3. Step 3: Cross multiply
    956.86x = 1,434.95 × 307.42
  4. Step 4: Simplify right side
    956.86x = 441,128.36
  5. Step 5: Solve for x
    x = 441,128.36/956.86
  6. Step 6: Final answer
    x = 461.02

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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.