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Finding the Fourth Proportional to 564.27, 846.50 and 304.46

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Solution

The fourth proportional to 564.27, 846.50 and 304.46 is: 456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 846.50 = 304.46 : x
  2. Step 2: Convert to fraction form
    564.27/846.50 = 304.46/x
  3. Step 3: Cross multiply
    564.27x = 846.50 × 304.46
  4. Step 4: Simplify right side
    564.27x = 257,719.64
  5. Step 5: Solve for x
    x = 257,719.64/564.27
  6. Step 6: Final answer
    x = 456.73

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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.