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Finding the Fourth Proportional to 337.13, 465.04 and 219.07

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Solution

The fourth proportional to 337.13, 465.04 and 219.07 is: 302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.13 : 465.04 = 219.07 : x
  2. Step 2: Convert to fraction form
    337.13/465.04 = 219.07/x
  3. Step 3: Cross multiply
    337.13x = 465.04 × 219.07
  4. Step 4: Simplify right side
    337.13x = 101,877.17
  5. Step 5: Solve for x
    x = 101,877.17/337.13
  6. Step 6: Final answer
    x = 302.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.