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Finding the Fourth Proportional to 469.79, 704.57 and 332.43

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Solution

The fourth proportional to 469.79, 704.57 and 332.43 is: 498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.79 : 704.57 = 332.43 : x
  2. Step 2: Convert to fraction form
    469.79/704.57 = 332.43/x
  3. Step 3: Cross multiply
    469.79x = 704.57 × 332.43
  4. Step 4: Simplify right side
    469.79x = 234,218.54
  5. Step 5: Solve for x
    x = 234,218.54/469.79
  6. Step 6: Final answer
    x = 498.57

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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.