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Finding the Fourth Proportional to 648.68, 971.55 and 465.50

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Solution

The fourth proportional to 648.68, 971.55 and 465.50 is: 697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 971.55 = 465.50 : x
  2. Step 2: Convert to fraction form
    648.68/971.55 = 465.50/x
  3. Step 3: Cross multiply
    648.68x = 971.55 × 465.50
  4. Step 4: Simplify right side
    648.68x = 452,251.67
  5. Step 5: Solve for x
    x = 452,251.67/648.68
  6. Step 6: Final answer
    x = 697.19

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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.