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Finding the Fourth Proportional to 345.84, 519.01 and 216.03

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Solution

The fourth proportional to 345.84, 519.01 and 216.03 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 519.01 = 216.03 : x
  2. Step 2: Convert to fraction form
    345.84/519.01 = 216.03/x
  3. Step 3: Cross multiply
    345.84x = 519.01 × 216.03
  4. Step 4: Simplify right side
    345.84x = 112,119.14
  5. Step 5: Solve for x
    x = 112,119.14/345.84
  6. Step 6: Final answer
    x = 324.20

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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.