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Finding the Fourth Proportional to 411.14, 567.59 and 264.02

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Solution

The fourth proportional to 411.14, 567.59 and 264.02 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 567.59 = 264.02 : x
  2. Step 2: Convert to fraction form
    411.14/567.59 = 264.02/x
  3. Step 3: Cross multiply
    411.14x = 567.59 × 264.02
  4. Step 4: Simplify right side
    411.14x = 149,855.11
  5. Step 5: Solve for x
    x = 149,855.11/411.14
  6. Step 6: Final answer
    x = 364.49

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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.