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Finding the Fourth Proportional to 341.64, 512.84 and 264.94

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Solution

The fourth proportional to 341.64, 512.84 and 264.94 is: 397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 512.84 = 264.94 : x
  2. Step 2: Convert to fraction form
    341.64/512.84 = 264.94/x
  3. Step 3: Cross multiply
    341.64x = 512.84 × 264.94
  4. Step 4: Simplify right side
    341.64x = 135,871.83
  5. Step 5: Solve for x
    x = 135,871.83/341.64
  6. Step 6: Final answer
    x = 397.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.