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Finding the Fourth Proportional to 597.97, 897.72 and 461.11

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Solution

The fourth proportional to 597.97, 897.72 and 461.11 is: 692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 897.72 = 461.11 : x
  2. Step 2: Convert to fraction form
    597.97/897.72 = 461.11/x
  3. Step 3: Cross multiply
    597.97x = 897.72 × 461.11
  4. Step 4: Simplify right side
    597.97x = 413,947.67
  5. Step 5: Solve for x
    x = 413,947.67/597.97
  6. Step 6: Final answer
    x = 692.25

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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.