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Finding the Fourth Proportional to 473.75, 654.08 and 349.55

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Solution

The fourth proportional to 473.75, 654.08 and 349.55 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.75 : 654.08 = 349.55 : x
  2. Step 2: Convert to fraction form
    473.75/654.08 = 349.55/x
  3. Step 3: Cross multiply
    473.75x = 654.08 × 349.55
  4. Step 4: Simplify right side
    473.75x = 228,628.65
  5. Step 5: Solve for x
    x = 228,628.65/473.75
  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.