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Finding the Fourth Proportional to 423.48, 582.47 and 340.41

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Solution

The fourth proportional to 423.48, 582.47 and 340.41 is: 468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.48 : 582.47 = 340.41 : x
  2. Step 2: Convert to fraction form
    423.48/582.47 = 340.41/x
  3. Step 3: Cross multiply
    423.48x = 582.47 × 340.41
  4. Step 4: Simplify right side
    423.48x = 198,278.61
  5. Step 5: Solve for x
    x = 198,278.61/423.48
  6. Step 6: Final answer
    x = 468.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.