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Finding the Fourth Proportional to 467.30, 701.07 and 416.29

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Solution

The fourth proportional to 467.30, 701.07 and 416.29 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 701.07 = 416.29 : x
  2. Step 2: Convert to fraction form
    467.30/701.07 = 416.29/x
  3. Step 3: Cross multiply
    467.30x = 701.07 × 416.29
  4. Step 4: Simplify right side
    467.30x = 291,842.84
  5. Step 5: Solve for x
    x = 291,842.84/467.30
  6. Step 6: Final answer
    x = 624.54

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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.