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Finding the Fourth Proportional to 315.71, 473.53 and 213.65

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Solution

The fourth proportional to 315.71, 473.53 and 213.65 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.71 : 473.53 = 213.65 : x
  2. Step 2: Convert to fraction form
    315.71/473.53 = 213.65/x
  3. Step 3: Cross multiply
    315.71x = 473.53 × 213.65
  4. Step 4: Simplify right side
    315.71x = 101,166.78
  5. Step 5: Solve for x
    x = 101,166.78/315.71
  6. Step 6: Final answer
    x = 320.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.