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Finding the Fourth Proportional to 345.86, 477.46 and 214.91

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Solution

The fourth proportional to 345.86, 477.46 and 214.91 is: 296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.86 : 477.46 = 214.91 : x
  2. Step 2: Convert to fraction form
    345.86/477.46 = 214.91/x
  3. Step 3: Cross multiply
    345.86x = 477.46 × 214.91
  4. Step 4: Simplify right side
    345.86x = 102,610.93
  5. Step 5: Solve for x
    x = 102,610.93/345.86
  6. Step 6: Final answer
    x = 296.68

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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.