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Finding the Fourth Proportional to 473.84, 710.97 and 213.70

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Solution

The fourth proportional to 473.84, 710.97 and 213.70 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.84 : 710.97 = 213.70 : x
  2. Step 2: Convert to fraction form
    473.84/710.97 = 213.70/x
  3. Step 3: Cross multiply
    473.84x = 710.97 × 213.70
  4. Step 4: Simplify right side
    473.84x = 151,932.51
  5. Step 5: Solve for x
    x = 151,932.51/473.84
  6. Step 6: Final answer
    x = 320.64

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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.