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Finding the Fourth Proportional to 347.94, 517.82 and 334.98

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Solution

The fourth proportional to 347.94, 517.82 and 334.98 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.94 : 517.82 = 334.98 : x
  2. Step 2: Convert to fraction form
    347.94/517.82 = 334.98/x
  3. Step 3: Cross multiply
    347.94x = 517.82 × 334.98
  4. Step 4: Simplify right side
    347.94x = 173,457.67
  5. Step 5: Solve for x
    x = 173,457.67/347.94
  6. Step 6: Final answer
    x = 498.53

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Why These Related Problems?

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