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Finding the Fourth Proportional to 599.08, 897.72 and 461.92

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Solution

The fourth proportional to 599.08, 897.72 and 461.92 is: 692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.08 : 897.72 = 461.92 : x
  2. Step 2: Convert to fraction form
    599.08/897.72 = 461.92/x
  3. Step 3: Cross multiply
    599.08x = 897.72 × 461.92
  4. Step 4: Simplify right side
    599.08x = 414,674.82
  5. Step 5: Solve for x
    x = 414,674.82/599.08
  6. Step 6: Final answer
    x = 692.19

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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.