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Finding the Fourth Proportional to 551.66, 760.49 and 394.01

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Solution

The fourth proportional to 551.66, 760.49 and 394.01 is: 543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.66 : 760.49 = 394.01 : x
  2. Step 2: Convert to fraction form
    551.66/760.49 = 394.01/x
  3. Step 3: Cross multiply
    551.66x = 760.49 × 394.01
  4. Step 4: Simplify right side
    551.66x = 299,642.04
  5. Step 5: Solve for x
    x = 299,642.04/551.66
  6. Step 6: Final answer
    x = 543.16

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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.