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Finding the Fourth Proportional to 468.80, 703.20 and 456.80

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Solution

The fourth proportional to 468.80, 703.20 and 456.80 is: 685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.80 : 703.20 = 456.80 : x
  2. Step 2: Convert to fraction form
    468.80/703.20 = 456.80/x
  3. Step 3: Cross multiply
    468.80x = 703.20 × 456.80
  4. Step 4: Simplify right side
    468.80x = 321,221.76
  5. Step 5: Solve for x
    x = 321,221.76/468.80
  6. Step 6: Final answer
    x = 685.20

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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.