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Finding the Fourth Proportional to 547.65, 754.56 and 400.05

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Solution

The fourth proportional to 547.65, 754.56 and 400.05 is: 551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.65 : 754.56 = 400.05 : x
  2. Step 2: Convert to fraction form
    547.65/754.56 = 400.05/x
  3. Step 3: Cross multiply
    547.65x = 754.56 × 400.05
  4. Step 4: Simplify right side
    547.65x = 301,861.73
  5. Step 5: Solve for x
    x = 301,861.73/547.65
  6. Step 6: Final answer
    x = 551.19

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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.