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Finding the Fourth Proportional to 345.62, 476.74 and 252.47

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Solution

The fourth proportional to 345.62, 476.74 and 252.47 is: 348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.62 : 476.74 = 252.47 : x
  2. Step 2: Convert to fraction form
    345.62/476.74 = 252.47/x
  3. Step 3: Cross multiply
    345.62x = 476.74 × 252.47
  4. Step 4: Simplify right side
    345.62x = 120,362.55
  5. Step 5: Solve for x
    x = 120,362.55/345.62
  6. Step 6: Final answer
    x = 348.25

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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.