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Finding the Fourth Proportional to 399.47, 598.95 and 180.05

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Solution

The fourth proportional to 399.47, 598.95 and 180.05 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.47 : 598.95 = 180.05 : x
  2. Step 2: Convert to fraction form
    399.47/598.95 = 180.05/x
  3. Step 3: Cross multiply
    399.47x = 598.95 × 180.05
  4. Step 4: Simplify right side
    399.47x = 107,837.95
  5. Step 5: Solve for x
    x = 107,837.95/399.47
  6. Step 6: Final answer
    x = 269.96

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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.