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Finding the Fourth Proportional to 395.20, 545.64 and 362.32

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Solution

The fourth proportional to 395.20, 545.64 and 362.32 is: 500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.20 : 545.64 = 362.32 : x
  2. Step 2: Convert to fraction form
    395.20/545.64 = 362.32/x
  3. Step 3: Cross multiply
    395.20x = 545.64 × 362.32
  4. Step 4: Simplify right side
    395.20x = 197,696.28
  5. Step 5: Solve for x
    x = 197,696.28/395.20
  6. Step 6: Final answer
    x = 500.24

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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.