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Finding the Fourth Proportional to 704.40, 1,055.84 and 338.53

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Solution

The fourth proportional to 704.40, 1,055.84 and 338.53 is: 507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 1,055.84 = 338.53 : x
  2. Step 2: Convert to fraction form
    704.40/1,055.84 = 338.53/x
  3. Step 3: Cross multiply
    704.40x = 1,055.84 × 338.53
  4. Step 4: Simplify right side
    704.40x = 357,431.16
  5. Step 5: Solve for x
    x = 357,431.16/704.40
  6. Step 6: Final answer
    x = 507.43

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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.