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Finding the Fourth Proportional to 340.84, 469.32 and 301.96

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Solution

The fourth proportional to 340.84, 469.32 and 301.96 is: 415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.84 : 469.32 = 301.96 : x
  2. Step 2: Convert to fraction form
    340.84/469.32 = 301.96/x
  3. Step 3: Cross multiply
    340.84x = 469.32 × 301.96
  4. Step 4: Simplify right side
    340.84x = 141,715.87
  5. Step 5: Solve for x
    x = 141,715.87/340.84
  6. Step 6: Final answer
    x = 415.78

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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.