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Finding the Fourth Proportional to 395.60, 545.76 and 278.96

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Solution

The fourth proportional to 395.60, 545.76 and 278.96 is: 384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 545.76 = 278.96 : x
  2. Step 2: Convert to fraction form
    395.60/545.76 = 278.96/x
  3. Step 3: Cross multiply
    395.60x = 545.76 × 278.96
  4. Step 4: Simplify right side
    395.60x = 152,242.48
  5. Step 5: Solve for x
    x = 152,242.48/395.60
  6. Step 6: Final answer
    x = 384.84

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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.