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Finding the Fourth Proportional to 473.74, 654.08 and 349.54

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Solution

The fourth proportional to 473.74, 654.08 and 349.54 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.74 : 654.08 = 349.54 : x
  2. Step 2: Convert to fraction form
    473.74/654.08 = 349.54/x
  3. Step 3: Cross multiply
    473.74x = 654.08 × 349.54
  4. Step 4: Simplify right side
    473.74x = 228,623.74
  5. Step 5: Solve for x
    x = 228,623.74/473.74
  6. Step 6: Final answer
    x = 482.60

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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.