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Finding the Fourth Proportional to 395.28, 545.40 and 264.60

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Solution

The fourth proportional to 395.28, 545.40 and 264.60 is: 365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.28 : 545.40 = 264.60 : x
  2. Step 2: Convert to fraction form
    395.28/545.40 = 264.60/x
  3. Step 3: Cross multiply
    395.28x = 545.40 × 264.60
  4. Step 4: Simplify right side
    395.28x = 144,312.84
  5. Step 5: Solve for x
    x = 144,312.84/395.28
  6. Step 6: Final answer
    x = 365.09

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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.