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Finding the Fourth Proportional to 345.64, 476.74 and 214.42

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Solution

The fourth proportional to 345.64, 476.74 and 214.42 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.64 : 476.74 = 214.42 : x
  2. Step 2: Convert to fraction form
    345.64/476.74 = 214.42/x
  3. Step 3: Cross multiply
    345.64x = 476.74 × 214.42
  4. Step 4: Simplify right side
    345.64x = 102,222.59
  5. Step 5: Solve for x
    x = 102,222.59/345.64
  6. Step 6: Final answer
    x = 295.75

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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.