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Finding the Fourth Proportional to 345.02, 517.38 and 214.82

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Solution

The fourth proportional to 345.02, 517.38 and 214.82 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.02 : 517.38 = 214.82 : x
  2. Step 2: Convert to fraction form
    345.02/517.38 = 214.82/x
  3. Step 3: Cross multiply
    345.02x = 517.38 × 214.82
  4. Step 4: Simplify right side
    345.02x = 111,143.79
  5. Step 5: Solve for x
    x = 111,143.79/345.02
  6. Step 6: Final answer
    x = 322.14

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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.