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Finding the Fourth Proportional to 295.11, 442.53 and 280.80

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Solution

The fourth proportional to 295.11, 442.53 and 280.80 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.11 : 442.53 = 280.80 : x
  2. Step 2: Convert to fraction form
    295.11/442.53 = 280.80/x
  3. Step 3: Cross multiply
    295.11x = 442.53 × 280.80
  4. Step 4: Simplify right side
    295.11x = 124,262.42
  5. Step 5: Solve for x
    x = 124,262.42/295.11
  6. Step 6: Final answer
    x = 421.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.