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Finding the Fourth Proportional to 411.66, 568.31 and 278.98

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Solution

The fourth proportional to 411.66, 568.31 and 278.98 is: 385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.66 : 568.31 = 278.98 : x
  2. Step 2: Convert to fraction form
    411.66/568.31 = 278.98/x
  3. Step 3: Cross multiply
    411.66x = 568.31 × 278.98
  4. Step 4: Simplify right side
    411.66x = 158,547.12
  5. Step 5: Solve for x
    x = 158,547.12/411.66
  6. Step 6: Final answer
    x = 385.14

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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.