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Finding the Fourth Proportional to 551.70, 760.56 and 394.07

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Solution

The fourth proportional to 551.70, 760.56 and 394.07 is: 543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.70 : 760.56 = 394.07 : x
  2. Step 2: Convert to fraction form
    551.70/760.56 = 394.07/x
  3. Step 3: Cross multiply
    551.70x = 760.56 × 394.07
  4. Step 4: Simplify right side
    551.70x = 299,710.08
  5. Step 5: Solve for x
    x = 299,710.08/551.70
  6. Step 6: Final answer
    x = 543.25

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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.