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Finding the Fourth Proportional to 552.21, 760.59 and 411.88

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Solution

The fourth proportional to 552.21, 760.59 and 411.88 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.21 : 760.59 = 411.88 : x
  2. Step 2: Convert to fraction form
    552.21/760.59 = 411.88/x
  3. Step 3: Cross multiply
    552.21x = 760.59 × 411.88
  4. Step 4: Simplify right side
    552.21x = 313,271.81
  5. Step 5: Solve for x
    x = 313,271.81/552.21
  6. Step 6: Final answer
    x = 567.31

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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.