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Finding the Fourth Proportional to 295.24, 407.29 and 250.80

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Solution

The fourth proportional to 295.24, 407.29 and 250.80 is: 345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.24 : 407.29 = 250.80 : x
  2. Step 2: Convert to fraction form
    295.24/407.29 = 250.80/x
  3. Step 3: Cross multiply
    295.24x = 407.29 × 250.80
  4. Step 4: Simplify right side
    295.24x = 102,148.33
  5. Step 5: Solve for x
    x = 102,148.33/295.24
  6. Step 6: Final answer
    x = 345.98

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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.