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Finding the Fourth Proportional to 946.01, 1,417.89 and 398

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Solution

The fourth proportional to 946.01, 1,417.89 and 398 is: 596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.01 : 1,417.89 = 398 : x
  2. Step 2: Convert to fraction form
    946.01/1,417.89 = 398/x
  3. Step 3: Cross multiply
    946.01x = 1,417.89 × 398
  4. Step 4: Simplify right side
    946.01x = 564,320.22
  5. Step 5: Solve for x
    x = 564,320.22/946.01
  6. Step 6: Final answer
    x = 596.53

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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.