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Finding the Fourth Proportional to 541.59, 747.32 and 305.45

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Solution

The fourth proportional to 541.59, 747.32 and 305.45 is: 421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.59 : 747.32 = 305.45 : x
  2. Step 2: Convert to fraction form
    541.59/747.32 = 305.45/x
  3. Step 3: Cross multiply
    541.59x = 747.32 × 305.45
  4. Step 4: Simplify right side
    541.59x = 228,268.89
  5. Step 5: Solve for x
    x = 228,268.89/541.59
  6. Step 6: Final answer
    x = 421.48

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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.