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Finding the Fourth Proportional to 347.45, 519.08 and 259.20

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Solution

The fourth proportional to 347.45, 519.08 and 259.20 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.45 : 519.08 = 259.20 : x
  2. Step 2: Convert to fraction form
    347.45/519.08 = 259.20/x
  3. Step 3: Cross multiply
    347.45x = 519.08 × 259.20
  4. Step 4: Simplify right side
    347.45x = 134,544.24
  5. Step 5: Solve for x
    x = 134,544.24/347.45
  6. Step 6: Final answer
    x = 387.24

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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.