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Finding the Fourth Proportional to 541.84, 747.62 and 305.76

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Solution

The fourth proportional to 541.84, 747.62 and 305.76 is: 421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 747.62 = 305.76 : x
  2. Step 2: Convert to fraction form
    541.84/747.62 = 305.76/x
  3. Step 3: Cross multiply
    541.84x = 747.62 × 305.76
  4. Step 4: Simplify right side
    541.84x = 228,592.29
  5. Step 5: Solve for x
    x = 228,592.29/541.84
  6. Step 6: Final answer
    x = 421.88

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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.