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Finding the Fourth Proportional to 467.25, 701.09 and 345.35

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Solution

The fourth proportional to 467.25, 701.09 and 345.35 is: 518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.25 : 701.09 = 345.35 : x
  2. Step 2: Convert to fraction form
    467.25/701.09 = 345.35/x
  3. Step 3: Cross multiply
    467.25x = 701.09 × 345.35
  4. Step 4: Simplify right side
    467.25x = 242,116.20
  5. Step 5: Solve for x
    x = 242,116.20/467.25
  6. Step 6: Final answer
    x = 518.17

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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.