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Finding the Fourth Proportional to 395.14, 545.37 and 292.42

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Solution

The fourth proportional to 395.14, 545.37 and 292.42 is: 403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.14 : 545.37 = 292.42 : x
  2. Step 2: Convert to fraction form
    395.14/545.37 = 292.42/x
  3. Step 3: Cross multiply
    395.14x = 545.37 × 292.42
  4. Step 4: Simplify right side
    395.14x = 159,477.10
  5. Step 5: Solve for x
    x = 159,477.10/395.14
  6. Step 6: Final answer
    x = 403.60

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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.