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Finding the Fourth Proportional to 341.92, 471.54 and 264.16

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Solution

The fourth proportional to 341.92, 471.54 and 264.16 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.92 : 471.54 = 264.16 : x
  2. Step 2: Convert to fraction form
    341.92/471.54 = 264.16/x
  3. Step 3: Cross multiply
    341.92x = 471.54 × 264.16
  4. Step 4: Simplify right side
    341.92x = 124,562.01
  5. Step 5: Solve for x
    x = 124,562.01/341.92
  6. Step 6: Final answer
    x = 364.30

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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.