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Finding the Fourth Proportional to 347.34, 478.94 and 259.86

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Solution

The fourth proportional to 347.34, 478.94 and 259.86 is: 358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.34 : 478.94 = 259.86 : x
  2. Step 2: Convert to fraction form
    347.34/478.94 = 259.86/x
  3. Step 3: Cross multiply
    347.34x = 478.94 × 259.86
  4. Step 4: Simplify right side
    347.34x = 124,456.05
  5. Step 5: Solve for x
    x = 124,456.05/347.34
  6. Step 6: Final answer
    x = 358.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.