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Finding the Fourth Proportional to 599.00, 897.41 and 306.18

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Solution

The fourth proportional to 599.00, 897.41 and 306.18 is: 458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.00 : 897.41 = 306.18 : x
  2. Step 2: Convert to fraction form
    599.00/897.41 = 306.18/x
  3. Step 3: Cross multiply
    599.00x = 897.41 × 306.18
  4. Step 4: Simplify right side
    599.00x = 274,769.76
  5. Step 5: Solve for x
    x = 274,769.76/599.00
  6. Step 6: Final answer
    x = 458.72

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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.