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Finding the Fourth Proportional to 345.64, 476.76 and 214.66

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Solution

The fourth proportional to 345.64, 476.76 and 214.66 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.64 : 476.76 = 214.66 : x
  2. Step 2: Convert to fraction form
    345.64/476.76 = 214.66/x
  3. Step 3: Cross multiply
    345.64x = 476.76 × 214.66
  4. Step 4: Simplify right side
    345.64x = 102,341.30
  5. Step 5: Solve for x
    x = 102,341.30/345.64
  6. Step 6: Final answer
    x = 296.09

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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.