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Finding the Fourth Proportional to 569.52, 853.65 and 326.25

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Solution

The fourth proportional to 569.52, 853.65 and 326.25 is: 489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 853.65 = 326.25 : x
  2. Step 2: Convert to fraction form
    569.52/853.65 = 326.25/x
  3. Step 3: Cross multiply
    569.52x = 853.65 × 326.25
  4. Step 4: Simplify right side
    569.52x = 278,503.31
  5. Step 5: Solve for x
    x = 278,503.31/569.52
  6. Step 6: Final answer
    x = 489.01

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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.