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Finding the Fourth Proportional to 279.25, 416.75 and 257.58

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Solution

The fourth proportional to 279.25, 416.75 and 257.58 is: 384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.25 : 416.75 = 257.58 : x
  2. Step 2: Convert to fraction form
    279.25/416.75 = 257.58/x
  3. Step 3: Cross multiply
    279.25x = 416.75 × 257.58
  4. Step 4: Simplify right side
    279.25x = 107,345.18
  5. Step 5: Solve for x
    x = 107,345.18/279.25
  6. Step 6: Final answer
    x = 384.41

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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.