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Finding the Fourth Proportional to 468.92, 703.17 and 209.00

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Solution

The fourth proportional to 468.92, 703.17 and 209.00 is: 313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.92 : 703.17 = 209.00 : x
  2. Step 2: Convert to fraction form
    468.92/703.17 = 209.00/x
  3. Step 3: Cross multiply
    468.92x = 703.17 × 209.00
  4. Step 4: Simplify right side
    468.92x = 146,959.01
  5. Step 5: Solve for x
    x = 146,959.01/468.92
  6. Step 6: Final answer
    x = 313.40

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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.