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Finding the Fourth Proportional to 599.67, 898.85 and 253.20

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Solution

The fourth proportional to 599.67, 898.85 and 253.20 is: 379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 898.85 = 253.20 : x
  2. Step 2: Convert to fraction form
    599.67/898.85 = 253.20/x
  3. Step 3: Cross multiply
    599.67x = 898.85 × 253.20
  4. Step 4: Simplify right side
    599.67x = 227,587.55
  5. Step 5: Solve for x
    x = 227,587.55/599.67
  6. Step 6: Final answer
    x = 379.52

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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.