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Finding the Fourth Proportional to 569.32, 853.32 and 309.12

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Solution

The fourth proportional to 569.32, 853.32 and 309.12 is: 463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.32 : 853.32 = 309.12 : x
  2. Step 2: Convert to fraction form
    569.32/853.32 = 309.12/x
  3. Step 3: Cross multiply
    569.32x = 853.32 × 309.12
  4. Step 4: Simplify right side
    569.32x = 263,778.28
  5. Step 5: Solve for x
    x = 263,778.28/569.32
  6. Step 6: Final answer
    x = 463.32

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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.