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Finding the Fourth Proportional to 473.92, 710.66 and 214

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Solution

The fourth proportional to 473.92, 710.66 and 214 is: 320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.92 : 710.66 = 214 : x
  2. Step 2: Convert to fraction form
    473.92/710.66 = 214/x
  3. Step 3: Cross multiply
    473.92x = 710.66 × 214
  4. Step 4: Simplify right side
    473.92x = 152,081.24
  5. Step 5: Solve for x
    x = 152,081.24/473.92
  6. Step 6: Final answer
    x = 320.90

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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.