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Finding the Fourth Proportional to 945.52, 1,417.26 and 398

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Solution

The fourth proportional to 945.52, 1,417.26 and 398 is: 596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.52 : 1,417.26 = 398 : x
  2. Step 2: Convert to fraction form
    945.52/1,417.26 = 398/x
  3. Step 3: Cross multiply
    945.52x = 1,417.26 × 398
  4. Step 4: Simplify right side
    945.52x = 564,069.48
  5. Step 5: Solve for x
    x = 564,069.48/945.52
  6. Step 6: Final answer
    x = 596.57

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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.