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Finding the Fourth Proportional to 345.54, 476.82 and 214.50

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Solution

The fourth proportional to 345.54, 476.82 and 214.50 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.54 : 476.82 = 214.50 : x
  2. Step 2: Convert to fraction form
    345.54/476.82 = 214.50/x
  3. Step 3: Cross multiply
    345.54x = 476.82 × 214.50
  4. Step 4: Simplify right side
    345.54x = 102,277.89
  5. Step 5: Solve for x
    x = 102,277.89/345.54
  6. Step 6: Final answer
    x = 295.99

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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.