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Finding the Fourth Proportional to 648.82, 973.08 and 258.75

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Solution

The fourth proportional to 648.82, 973.08 and 258.75 is: 388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.82 : 973.08 = 258.75 : x
  2. Step 2: Convert to fraction form
    648.82/973.08 = 258.75/x
  3. Step 3: Cross multiply
    648.82x = 973.08 × 258.75
  4. Step 4: Simplify right side
    648.82x = 251,782.38
  5. Step 5: Solve for x
    x = 251,782.38/648.82
  6. Step 6: Final answer
    x = 388.06

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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.