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Finding the Fourth Proportional to 541.24, 746.76 and 364.45

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Solution

The fourth proportional to 541.24, 746.76 and 364.45 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.24 : 746.76 = 364.45 : x
  2. Step 2: Convert to fraction form
    541.24/746.76 = 364.45/x
  3. Step 3: Cross multiply
    541.24x = 746.76 × 364.45
  4. Step 4: Simplify right side
    541.24x = 272,156.68
  5. Step 5: Solve for x
    x = 272,156.68/541.24
  6. Step 6: Final answer
    x = 502.84

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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.