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Finding the Fourth Proportional to 468.48, 703.80 and 454.44

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Solution

The fourth proportional to 468.48, 703.80 and 454.44 is: 682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.48 : 703.80 = 454.44 : x
  2. Step 2: Convert to fraction form
    468.48/703.80 = 454.44/x
  3. Step 3: Cross multiply
    468.48x = 703.80 × 454.44
  4. Step 4: Simplify right side
    468.48x = 319,834.87
  5. Step 5: Solve for x
    x = 319,834.87/468.48
  6. Step 6: Final answer
    x = 682.71

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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.