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Finding the Fourth Proportional to 569.64, 854.66 and 326.36

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Solution

The fourth proportional to 569.64, 854.66 and 326.36 is: 489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.64 : 854.66 = 326.36 : x
  2. Step 2: Convert to fraction form
    569.64/854.66 = 326.36/x
  3. Step 3: Cross multiply
    569.64x = 854.66 × 326.36
  4. Step 4: Simplify right side
    569.64x = 278,926.84
  5. Step 5: Solve for x
    x = 278,926.84/569.64
  6. Step 6: Final answer
    x = 489.65

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