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Finding the Fourth Proportional to 467.79, 645.69 and 302.00

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Solution

The fourth proportional to 467.79, 645.69 and 302.00 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.79 : 645.69 = 302.00 : x
  2. Step 2: Convert to fraction form
    467.79/645.69 = 302.00/x
  3. Step 3: Cross multiply
    467.79x = 645.69 × 302.00
  4. Step 4: Simplify right side
    467.79x = 194,996.28
  5. Step 5: Solve for x
    x = 194,996.28/467.79
  6. Step 6: Final answer
    x = 416.85

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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.