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Finding the Fourth Proportional to 473.78, 710.71 and 200.00

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Solution

The fourth proportional to 473.78, 710.71 and 200.00 is: 300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 710.71 = 200.00 : x
  2. Step 2: Convert to fraction form
    473.78/710.71 = 200.00/x
  3. Step 3: Cross multiply
    473.78x = 710.71 × 200.00
  4. Step 4: Simplify right side
    473.78x = 142,143.28
  5. Step 5: Solve for x
    x = 142,143.28/473.78
  6. Step 6: Final answer
    x = 300.02

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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.