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Finding the Fourth Proportional to 421.18, 630.46 and 385.29

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Solution

The fourth proportional to 421.18, 630.46 and 385.29 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.18 : 630.46 = 385.29 : x
  2. Step 2: Convert to fraction form
    421.18/630.46 = 385.29/x
  3. Step 3: Cross multiply
    421.18x = 630.46 × 385.29
  4. Step 4: Simplify right side
    421.18x = 242,911.10
  5. Step 5: Solve for x
    x = 242,911.10/421.18
  6. Step 6: Final answer
    x = 576.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.