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Finding the Fourth Proportional to 341.23, 469.71 and 242.83

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Solution

The fourth proportional to 341.23, 469.71 and 242.83 is: 334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.23 : 469.71 = 242.83 : x
  2. Step 2: Convert to fraction form
    341.23/469.71 = 242.83/x
  3. Step 3: Cross multiply
    341.23x = 469.71 × 242.83
  4. Step 4: Simplify right side
    341.23x = 114,059.68
  5. Step 5: Solve for x
    x = 114,059.68/341.23
  6. Step 6: Final answer
    x = 334.26

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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.