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Finding the Fourth Proportional to 310.02, 465.05 and 219.13

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Solution

The fourth proportional to 310.02, 465.05 and 219.13 is: 328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.02 : 465.05 = 219.13 : x
  2. Step 2: Convert to fraction form
    310.02/465.05 = 219.13/x
  3. Step 3: Cross multiply
    310.02x = 465.05 × 219.13
  4. Step 4: Simplify right side
    310.02x = 101,904.08
  5. Step 5: Solve for x
    x = 101,904.08/310.02
  6. Step 6: Final answer
    x = 328.70

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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.