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Finding the Fourth Proportional to 345.38, 476.64 and 214.47

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Solution

The fourth proportional to 345.38, 476.64 and 214.47 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.38 : 476.64 = 214.47 : x
  2. Step 2: Convert to fraction form
    345.38/476.64 = 214.47/x
  3. Step 3: Cross multiply
    345.38x = 476.64 × 214.47
  4. Step 4: Simplify right side
    345.38x = 102,224.98
  5. Step 5: Solve for x
    x = 102,224.98/345.38
  6. Step 6: Final answer
    x = 295.98

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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.