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Finding the Fourth Proportional to 347.97, 521.43 and 260.90

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Solution

The fourth proportional to 347.97, 521.43 and 260.90 is: 390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.97 : 521.43 = 260.90 : x
  2. Step 2: Convert to fraction form
    347.97/521.43 = 260.90/x
  3. Step 3: Cross multiply
    347.97x = 521.43 × 260.90
  4. Step 4: Simplify right side
    347.97x = 136,041.09
  5. Step 5: Solve for x
    x = 136,041.09/347.97
  6. Step 6: Final answer
    x = 390.96

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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.