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Finding the Fourth Proportional to 467.04, 645.66 and 408.72

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Solution

The fourth proportional to 467.04, 645.66 and 408.72 is: 565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.04 : 645.66 = 408.72 : x
  2. Step 2: Convert to fraction form
    467.04/645.66 = 408.72/x
  3. Step 3: Cross multiply
    467.04x = 645.66 × 408.72
  4. Step 4: Simplify right side
    467.04x = 263,894.16
  5. Step 5: Solve for x
    x = 263,894.16/467.04
  6. Step 6: Final answer
    x = 565.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.