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Finding the Fourth Proportional to 599.58, 897.75 and 462.69

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Solution

The fourth proportional to 599.58, 897.75 and 462.69 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.58 : 897.75 = 462.69 : x
  2. Step 2: Convert to fraction form
    599.58/897.75 = 462.69/x
  3. Step 3: Cross multiply
    599.58x = 897.75 × 462.69
  4. Step 4: Simplify right side
    599.58x = 415,379.95
  5. Step 5: Solve for x
    x = 415,379.95/599.58
  6. Step 6: Final answer
    x = 692.78

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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.