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Finding the Fourth Proportional to 541.61, 747.45 and 305.64

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Solution

The fourth proportional to 541.61, 747.45 and 305.64 is: 421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.61 : 747.45 = 305.64 : x
  2. Step 2: Convert to fraction form
    541.61/747.45 = 305.64/x
  3. Step 3: Cross multiply
    541.61x = 747.45 × 305.64
  4. Step 4: Simplify right side
    541.61x = 228,450.62
  5. Step 5: Solve for x
    x = 228,450.62/541.61
  6. Step 6: Final answer
    x = 421.80

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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.