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Finding the Fourth Proportional to 956.34, 1,434.66 and 307.14

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Solution

The fourth proportional to 956.34, 1,434.66 and 307.14 is: 460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.34 : 1,434.66 = 307.14 : x
  2. Step 2: Convert to fraction form
    956.34/1,434.66 = 307.14/x
  3. Step 3: Cross multiply
    956.34x = 1,434.66 × 307.14
  4. Step 4: Simplify right side
    956.34x = 440,641.47
  5. Step 5: Solve for x
    x = 440,641.47/956.34
  6. Step 6: Final answer
    x = 460.76

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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.