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Finding the Fourth Proportional to 454.32, 680.88 and 389.76

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Solution

The fourth proportional to 454.32, 680.88 and 389.76 is: 584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.32 : 680.88 = 389.76 : x
  2. Step 2: Convert to fraction form
    454.32/680.88 = 389.76/x
  3. Step 3: Cross multiply
    454.32x = 680.88 × 389.76
  4. Step 4: Simplify right side
    454.32x = 265,379.79
  5. Step 5: Solve for x
    x = 265,379.79/454.32
  6. Step 6: Final answer
    x = 584.13

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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.