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Finding the Fourth Proportional to 541.66, 747.50 and 305.63

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Solution

The fourth proportional to 541.66, 747.50 and 305.63 is: 421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.66 : 747.50 = 305.63 : x
  2. Step 2: Convert to fraction form
    541.66/747.50 = 305.63/x
  3. Step 3: Cross multiply
    541.66x = 747.50 × 305.63
  4. Step 4: Simplify right side
    541.66x = 228,458.43
  5. Step 5: Solve for x
    x = 228,458.43/541.66
  6. Step 6: Final answer
    x = 421.77

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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.