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Finding the Fourth Proportional to 564.22, 845.29 and 332.45

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Solution

The fourth proportional to 564.22, 845.29 and 332.45 is: 498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.22 : 845.29 = 332.45 : x
  2. Step 2: Convert to fraction form
    564.22/845.29 = 332.45/x
  3. Step 3: Cross multiply
    564.22x = 845.29 × 332.45
  4. Step 4: Simplify right side
    564.22x = 281,018.90
  5. Step 5: Solve for x
    x = 281,018.90/564.22
  6. Step 6: Final answer
    x = 498.07

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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.