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Finding the Fourth Proportional to 345.88, 477.31 and 214.96

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Solution

The fourth proportional to 345.88, 477.31 and 214.96 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.88 : 477.31 = 214.96 : x
  2. Step 2: Convert to fraction form
    345.88/477.31 = 214.96/x
  3. Step 3: Cross multiply
    345.88x = 477.31 × 214.96
  4. Step 4: Simplify right side
    345.88x = 102,602.56
  5. Step 5: Solve for x
    x = 102,602.56/345.88
  6. Step 6: Final answer
    x = 296.64

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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.