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Finding the Fourth Proportional to 345.04, 476.13 and 214

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Solution

The fourth proportional to 345.04, 476.13 and 214 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.04 : 476.13 = 214 : x
  2. Step 2: Convert to fraction form
    345.04/476.13 = 214/x
  3. Step 3: Cross multiply
    345.04x = 476.13 × 214
  4. Step 4: Simplify right side
    345.04x = 101,891.82
  5. Step 5: Solve for x
    x = 101,891.82/345.04
  6. Step 6: Final answer
    x = 295.30

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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.