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Finding the Fourth Proportional to 470.04, 701.82 and 453.24

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Solution

The fourth proportional to 470.04, 701.82 and 453.24 is: 676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.04 : 701.82 = 453.24 : x
  2. Step 2: Convert to fraction form
    470.04/701.82 = 453.24/x
  3. Step 3: Cross multiply
    470.04x = 701.82 × 453.24
  4. Step 4: Simplify right side
    470.04x = 318,092.90
  5. Step 5: Solve for x
    x = 318,092.90/470.04
  6. Step 6: Final answer
    x = 676.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.