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Finding the Fourth Proportional to 454.40, 680.88 and 291.95

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Solution

The fourth proportional to 454.40, 680.88 and 291.95 is: 437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.40 : 680.88 = 291.95 : x
  2. Step 2: Convert to fraction form
    454.40/680.88 = 291.95/x
  3. Step 3: Cross multiply
    454.40x = 680.88 × 291.95
  4. Step 4: Simplify right side
    454.40x = 198,782.92
  5. Step 5: Solve for x
    x = 198,782.92/454.40
  6. Step 6: Final answer
    x = 437.46

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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.