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Finding the Fourth Proportional to 467.68, 645.24 and 302.00

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Solution

The fourth proportional to 467.68, 645.24 and 302.00 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.68 : 645.24 = 302.00 : x
  2. Step 2: Convert to fraction form
    467.68/645.24 = 302.00/x
  3. Step 3: Cross multiply
    467.68x = 645.24 × 302.00
  4. Step 4: Simplify right side
    467.68x = 194,864.90
  5. Step 5: Solve for x
    x = 194,864.90/467.68
  6. Step 6: Final answer
    x = 416.66

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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.