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Finding the Fourth Proportional to 337.80, 504.72 and 259.26

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Solution

The fourth proportional to 337.80, 504.72 and 259.26 is: 387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.80 : 504.72 = 259.26 : x
  2. Step 2: Convert to fraction form
    337.80/504.72 = 259.26/x
  3. Step 3: Cross multiply
    337.80x = 504.72 × 259.26
  4. Step 4: Simplify right side
    337.80x = 130,853.71
  5. Step 5: Solve for x
    x = 130,853.71/337.80
  6. Step 6: Final answer
    x = 387.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.