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Finding the Fourth Proportional to 648.70, 973.05 and 406.76

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Solution

The fourth proportional to 648.70, 973.05 and 406.76 is: 610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.70 : 973.05 = 406.76 : x
  2. Step 2: Convert to fraction form
    648.70/973.05 = 406.76/x
  3. Step 3: Cross multiply
    648.70x = 973.05 × 406.76
  4. Step 4: Simplify right side
    648.70x = 395,801.35
  5. Step 5: Solve for x
    x = 395,801.35/648.70
  6. Step 6: Final answer
    x = 610.15

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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.