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Finding the Fourth Proportional to 395.30, 545.18 and 296.88

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Solution

The fourth proportional to 395.30, 545.18 and 296.88 is: 409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.30 : 545.18 = 296.88 : x
  2. Step 2: Convert to fraction form
    395.30/545.18 = 296.88/x
  3. Step 3: Cross multiply
    395.30x = 545.18 × 296.88
  4. Step 4: Simplify right side
    395.30x = 161,855.14
  5. Step 5: Solve for x
    x = 161,855.14/395.30
  6. Step 6: Final answer
    x = 409.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.