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Finding the Fourth Proportional to 541.61, 747.42 and 305.57

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Solution

The fourth proportional to 541.61, 747.42 and 305.57 is: 421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.61 : 747.42 = 305.57 : x
  2. Step 2: Convert to fraction form
    541.61/747.42 = 305.57/x
  3. Step 3: Cross multiply
    541.61x = 747.42 × 305.57
  4. Step 4: Simplify right side
    541.61x = 228,385.39
  5. Step 5: Solve for x
    x = 228,385.39/541.61
  6. Step 6: Final answer
    x = 421.68

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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.