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Finding the Fourth Proportional to 275.58, 410.97 and 257.13

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Solution

The fourth proportional to 275.58, 410.97 and 257.13 is: 383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.58 : 410.97 = 257.13 : x
  2. Step 2: Convert to fraction form
    275.58/410.97 = 257.13/x
  3. Step 3: Cross multiply
    275.58x = 410.97 × 257.13
  4. Step 4: Simplify right side
    275.58x = 105,672.72
  5. Step 5: Solve for x
    x = 105,672.72/275.58
  6. Step 6: Final answer
    x = 383.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.