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Finding the Fourth Proportional to 411.90, 567.99 and 293.76

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Solution

The fourth proportional to 411.90, 567.99 and 293.76 is: 405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.90 : 567.99 = 293.76 : x
  2. Step 2: Convert to fraction form
    411.90/567.99 = 293.76/x
  3. Step 3: Cross multiply
    411.90x = 567.99 × 293.76
  4. Step 4: Simplify right side
    411.90x = 166,852.74
  5. Step 5: Solve for x
    x = 166,852.74/411.90
  6. Step 6: Final answer
    x = 405.08

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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.