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Finding the Fourth Proportional to 648.71, 973.45 and 258.90

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Solution

The fourth proportional to 648.71, 973.45 and 258.90 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.71 : 973.45 = 258.90 : x
  2. Step 2: Convert to fraction form
    648.71/973.45 = 258.90/x
  3. Step 3: Cross multiply
    648.71x = 973.45 × 258.90
  4. Step 4: Simplify right side
    648.71x = 252,026.21
  5. Step 5: Solve for x
    x = 252,026.21/648.71
  6. Step 6: Final answer
    x = 388.50

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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.