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Finding the Fourth Proportional to 564.29, 846.76 and 304.29

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Solution

The fourth proportional to 564.29, 846.76 and 304.29 is: 456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.29 : 846.76 = 304.29 : x
  2. Step 2: Convert to fraction form
    564.29/846.76 = 304.29/x
  3. Step 3: Cross multiply
    564.29x = 846.76 × 304.29
  4. Step 4: Simplify right side
    564.29x = 257,660.98
  5. Step 5: Solve for x
    x = 257,660.98/564.29
  6. Step 6: Final answer
    x = 456.61

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Why These Related Problems?

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