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Finding the Fourth Proportional to 341.70, 470.58 and 263.94

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Solution

The fourth proportional to 341.70, 470.58 and 263.94 is: 363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.70 : 470.58 = 263.94 : x
  2. Step 2: Convert to fraction form
    341.70/470.58 = 263.94/x
  3. Step 3: Cross multiply
    341.70x = 470.58 × 263.94
  4. Step 4: Simplify right side
    341.70x = 124,204.89
  5. Step 5: Solve for x
    x = 124,204.89/341.70
  6. Step 6: Final answer
    x = 363.49

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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.