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Finding the Fourth Proportional to 469.59, 703.47 and 226.29

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Solution

The fourth proportional to 469.59, 703.47 and 226.29 is: 338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.59 : 703.47 = 226.29 : x
  2. Step 2: Convert to fraction form
    469.59/703.47 = 226.29/x
  3. Step 3: Cross multiply
    469.59x = 703.47 × 226.29
  4. Step 4: Simplify right side
    469.59x = 159,184.71
  5. Step 5: Solve for x
    x = 159,184.71/469.59
  6. Step 6: Final answer
    x = 338.99

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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.