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Finding the Fourth Proportional to 467.58, 645.08 and 363.08

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Solution

The fourth proportional to 467.58, 645.08 and 363.08 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.58 : 645.08 = 363.08 : x
  2. Step 2: Convert to fraction form
    467.58/645.08 = 363.08/x
  3. Step 3: Cross multiply
    467.58x = 645.08 × 363.08
  4. Step 4: Simplify right side
    467.58x = 234,215.65
  5. Step 5: Solve for x
    x = 234,215.65/467.58
  6. Step 6: Final answer
    x = 500.91

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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.