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Finding the Fourth Proportional to 652.54, 978.82 and 257.26

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Solution

The fourth proportional to 652.54, 978.82 and 257.26 is: 385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.54 : 978.82 = 257.26 : x
  2. Step 2: Convert to fraction form
    652.54/978.82 = 257.26/x
  3. Step 3: Cross multiply
    652.54x = 978.82 × 257.26
  4. Step 4: Simplify right side
    652.54x = 251,813.04
  5. Step 5: Solve for x
    x = 251,813.04/652.54
  6. Step 6: Final answer
    x = 385.90

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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.