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Finding the Fourth Proportional to 564.34, 846.82 and 304.33

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Solution

The fourth proportional to 564.34, 846.82 and 304.33 is: 456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.34 : 846.82 = 304.33 : x
  2. Step 2: Convert to fraction form
    564.34/846.82 = 304.33/x
  3. Step 3: Cross multiply
    564.34x = 846.82 × 304.33
  4. Step 4: Simplify right side
    564.34x = 257,712.73
  5. Step 5: Solve for x
    x = 257,712.73/564.34
  6. Step 6: Final answer
    x = 456.66

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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.