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Finding the Fourth Proportional to 341.42, 473.14 and 334.94

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Solution

The fourth proportional to 341.42, 473.14 and 334.94 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.42 : 473.14 = 334.94 : x
  2. Step 2: Convert to fraction form
    341.42/473.14 = 334.94/x
  3. Step 3: Cross multiply
    341.42x = 473.14 × 334.94
  4. Step 4: Simplify right side
    341.42x = 158,473.51
  5. Step 5: Solve for x
    x = 158,473.51/341.42
  6. Step 6: Final answer
    x = 464.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.