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Finding the Fourth Proportional to 569.75, 854.63 and 326.11

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Solution

The fourth proportional to 569.75, 854.63 and 326.11 is: 489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 854.63 = 326.11 : x
  2. Step 2: Convert to fraction form
    569.75/854.63 = 326.11/x
  3. Step 3: Cross multiply
    569.75x = 854.63 × 326.11
  4. Step 4: Simplify right side
    569.75x = 278,700.23
  5. Step 5: Solve for x
    x = 278,700.23/569.75
  6. Step 6: Final answer
    x = 489.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.