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Finding the Fourth Proportional to 547.84, 754.92 and 400.18

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Solution

The fourth proportional to 547.84, 754.92 and 400.18 is: 551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 754.92 = 400.18 : x
  2. Step 2: Convert to fraction form
    547.84/754.92 = 400.18/x
  3. Step 3: Cross multiply
    547.84x = 754.92 × 400.18
  4. Step 4: Simplify right side
    547.84x = 302,103.89
  5. Step 5: Solve for x
    x = 302,103.89/547.84
  6. Step 6: Final answer
    x = 551.45

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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.