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Finding the Fourth Proportional to 703.59, 1,055.37 and 338.16

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Solution

The fourth proportional to 703.59, 1,055.37 and 338.16 is: 507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.59 : 1,055.37 = 338.16 : x
  2. Step 2: Convert to fraction form
    703.59/1,055.37 = 338.16/x
  3. Step 3: Cross multiply
    703.59x = 1,055.37 × 338.16
  4. Step 4: Simplify right side
    703.59x = 356,883.92
  5. Step 5: Solve for x
    x = 356,883.92/703.59
  6. Step 6: Final answer
    x = 507.23

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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.