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Finding the Fourth Proportional to 956.98, 1,435.14 and 307.54

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Solution

The fourth proportional to 956.98, 1,435.14 and 307.54 is: 461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.98 : 1,435.14 = 307.54 : x
  2. Step 2: Convert to fraction form
    956.98/1,435.14 = 307.54/x
  3. Step 3: Cross multiply
    956.98x = 1,435.14 × 307.54
  4. Step 4: Simplify right side
    956.98x = 441,365.01
  5. Step 5: Solve for x
    x = 441,365.01/956.98
  6. Step 6: Final answer
    x = 461.20

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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.