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Finding the Fourth Proportional to 468.14, 644.60 and 424.19

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Solution

The fourth proportional to 468.14, 644.60 and 424.19 is: 584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 644.60 = 424.19 : x
  2. Step 2: Convert to fraction form
    468.14/644.60 = 424.19/x
  3. Step 3: Cross multiply
    468.14x = 644.60 × 424.19
  4. Step 4: Simplify right side
    468.14x = 273,427.53
  5. Step 5: Solve for x
    x = 273,427.53/468.14
  6. Step 6: Final answer
    x = 584.08

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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.