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Finding the Fourth Proportional to 423.74, 632.40 and 412.80

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Solution

The fourth proportional to 423.74, 632.40 and 412.80 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.74 : 632.40 = 412.80 : x
  2. Step 2: Convert to fraction form
    423.74/632.40 = 412.80/x
  3. Step 3: Cross multiply
    423.74x = 632.40 × 412.80
  4. Step 4: Simplify right side
    423.74x = 261,054.72
  5. Step 5: Solve for x
    x = 261,054.72/423.74
  6. Step 6: Final answer
    x = 616.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.