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Finding the Fourth Proportional to 410.58, 567 and 286.07

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Solution

The fourth proportional to 410.58, 567 and 286.07 is: 395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.58 : 567 = 286.07 : x
  2. Step 2: Convert to fraction form
    410.58/567 = 286.07/x
  3. Step 3: Cross multiply
    410.58x = 567 × 286.07
  4. Step 4: Simplify right side
    410.58x = 162,198.86
  5. Step 5: Solve for x
    x = 162,198.86/410.58
  6. Step 6: Final answer
    x = 395.05

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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.