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Finding the Fourth Proportional to 345.46, 476.85 and 214.51

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Solution

The fourth proportional to 345.46, 476.85 and 214.51 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.46 : 476.85 = 214.51 : x
  2. Step 2: Convert to fraction form
    345.46/476.85 = 214.51/x
  3. Step 3: Cross multiply
    345.46x = 476.85 × 214.51
  4. Step 4: Simplify right side
    345.46x = 102,289.09
  5. Step 5: Solve for x
    x = 102,289.09/345.46
  6. Step 6: Final answer
    x = 296.10

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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.