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Finding the Fourth Proportional to 399.61, 599.53 and 180.30

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Solution

The fourth proportional to 399.61, 599.53 and 180.30 is: 270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.61 : 599.53 = 180.30 : x
  2. Step 2: Convert to fraction form
    399.61/599.53 = 180.30/x
  3. Step 3: Cross multiply
    399.61x = 599.53 × 180.30
  4. Step 4: Simplify right side
    399.61x = 108,094.81
  5. Step 5: Solve for x
    x = 108,094.81/399.61
  6. Step 6: Final answer
    x = 270.50

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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.