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Finding the Fourth Proportional to 316.30, 473.63 and 219.10

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Solution

The fourth proportional to 316.30, 473.63 and 219.10 is: 328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.30 : 473.63 = 219.10 : x
  2. Step 2: Convert to fraction form
    316.30/473.63 = 219.10/x
  3. Step 3: Cross multiply
    316.30x = 473.63 × 219.10
  4. Step 4: Simplify right side
    316.30x = 103,772.33
  5. Step 5: Solve for x
    x = 103,772.33/316.30
  6. Step 6: Final answer
    x = 328.08

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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.