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Finding the Fourth Proportional to 423.79, 634.51 and 277.11

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Solution

The fourth proportional to 423.79, 634.51 and 277.11 is: 414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.79 : 634.51 = 277.11 : x
  2. Step 2: Convert to fraction form
    423.79/634.51 = 277.11/x
  3. Step 3: Cross multiply
    423.79x = 634.51 × 277.11
  4. Step 4: Simplify right side
    423.79x = 175,829.07
  5. Step 5: Solve for x
    x = 175,829.07/423.79
  6. Step 6: Final answer
    x = 414.90

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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.