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Finding the Fourth Proportional to 569.32, 853.27 and 322.51

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Solution

The fourth proportional to 569.32, 853.27 and 322.51 is: 483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.32 : 853.27 = 322.51 : x
  2. Step 2: Convert to fraction form
    569.32/853.27 = 322.51/x
  3. Step 3: Cross multiply
    569.32x = 853.27 × 322.51
  4. Step 4: Simplify right side
    569.32x = 275,188.11
  5. Step 5: Solve for x
    x = 275,188.11/569.32
  6. Step 6: Final answer
    x = 483.36

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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.