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Finding the Fourth Proportional to 345.60, 476.91 and 214.61

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Solution

The fourth proportional to 345.60, 476.91 and 214.61 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 476.91 = 214.61 : x
  2. Step 2: Convert to fraction form
    345.60/476.91 = 214.61/x
  3. Step 3: Cross multiply
    345.60x = 476.91 × 214.61
  4. Step 4: Simplify right side
    345.60x = 102,347.27
  5. Step 5: Solve for x
    x = 102,347.27/345.60
  6. Step 6: Final answer
    x = 296.14

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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.