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Finding the Fourth Proportional to 956.73, 1,434.93 and 307.38

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Solution

The fourth proportional to 956.73, 1,434.93 and 307.38 is: 461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.73 : 1,434.93 = 307.38 : x
  2. Step 2: Convert to fraction form
    956.73/1,434.93 = 307.38/x
  3. Step 3: Cross multiply
    956.73x = 1,434.93 × 307.38
  4. Step 4: Simplify right side
    956.73x = 441,061.61
  5. Step 5: Solve for x
    x = 441,061.61/956.73
  6. Step 6: Final answer
    x = 461.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.