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Finding the Fourth Proportional to 345.87, 477.36 and 214.92

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Solution

The fourth proportional to 345.87, 477.36 and 214.92 is: 296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.87 : 477.36 = 214.92 : x
  2. Step 2: Convert to fraction form
    345.87/477.36 = 214.92/x
  3. Step 3: Cross multiply
    345.87x = 477.36 × 214.92
  4. Step 4: Simplify right side
    345.87x = 102,594.21
  5. Step 5: Solve for x
    x = 102,594.21/345.87
  6. Step 6: Final answer
    x = 296.63

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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.