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Finding the Fourth Proportional to 599.15, 897.41 and 324.66

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Solution

The fourth proportional to 599.15, 897.41 and 324.66 is: 486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.15 : 897.41 = 324.66 : x
  2. Step 2: Convert to fraction form
    599.15/897.41 = 324.66/x
  3. Step 3: Cross multiply
    599.15x = 897.41 × 324.66
  4. Step 4: Simplify right side
    599.15x = 291,350.58
  5. Step 5: Solve for x
    x = 291,350.58/599.15
  6. Step 6: Final answer
    x = 486.28

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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.