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Finding the Fourth Proportional to 597.68, 897.60 and 461.06

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Solution

The fourth proportional to 597.68, 897.60 and 461.06 is: 692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.68 : 897.60 = 461.06 : x
  2. Step 2: Convert to fraction form
    597.68/897.60 = 461.06/x
  3. Step 3: Cross multiply
    597.68x = 897.60 × 461.06
  4. Step 4: Simplify right side
    597.68x = 413,847.46
  5. Step 5: Solve for x
    x = 413,847.46/597.68
  6. Step 6: Final answer
    x = 692.42

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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.