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Finding the Fourth Proportional to 295.58, 442.83 and 284.78

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Solution

The fourth proportional to 295.58, 442.83 and 284.78 is: 426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.58 : 442.83 = 284.78 : x
  2. Step 2: Convert to fraction form
    295.58/442.83 = 284.78/x
  3. Step 3: Cross multiply
    295.58x = 442.83 × 284.78
  4. Step 4: Simplify right side
    295.58x = 126,109.13
  5. Step 5: Solve for x
    x = 126,109.13/295.58
  6. Step 6: Final answer
    x = 426.65

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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.