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Finding the Fourth Proportional to 454.79, 680.65 and 352.53

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Solution

The fourth proportional to 454.79, 680.65 and 352.53 is: 527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.79 : 680.65 = 352.53 : x
  2. Step 2: Convert to fraction form
    454.79/680.65 = 352.53/x
  3. Step 3: Cross multiply
    454.79x = 680.65 × 352.53
  4. Step 4: Simplify right side
    454.79x = 239,948.66
  5. Step 5: Solve for x
    x = 239,948.66/454.79
  6. Step 6: Final answer
    x = 527.60

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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.