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Finding the Fourth Proportional to 541.32, 746.97 and 341.91

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Solution

The fourth proportional to 541.32, 746.97 and 341.91 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.32 : 746.97 = 341.91 : x
  2. Step 2: Convert to fraction form
    541.32/746.97 = 341.91/x
  3. Step 3: Cross multiply
    541.32x = 746.97 × 341.91
  4. Step 4: Simplify right side
    541.32x = 255,396.51
  5. Step 5: Solve for x
    x = 255,396.51/541.32
  6. Step 6: Final answer
    x = 471.80

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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.