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Finding the Fourth Proportional to 473.33, 708.84 and 230.00

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Solution

The fourth proportional to 473.33, 708.84 and 230.00 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.33 : 708.84 = 230.00 : x
  2. Step 2: Convert to fraction form
    473.33/708.84 = 230.00/x
  3. Step 3: Cross multiply
    473.33x = 708.84 × 230.00
  4. Step 4: Simplify right side
    473.33x = 163,029.66
  5. Step 5: Solve for x
    x = 163,029.66/473.33
  6. Step 6: Final answer
    x = 344.43

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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.