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Finding the Fourth Proportional to 295.23, 442.53 and 280.82

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Solution

The fourth proportional to 295.23, 442.53 and 280.82 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.23 : 442.53 = 280.82 : x
  2. Step 2: Convert to fraction form
    295.23/442.53 = 280.82/x
  3. Step 3: Cross multiply
    295.23x = 442.53 × 280.82
  4. Step 4: Simplify right side
    295.23x = 124,269.06
  5. Step 5: Solve for x
    x = 124,269.06/295.23
  6. Step 6: Final answer
    x = 420.92

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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.