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Finding the Fourth Proportional to 634.02, 874.42 and 424.23

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Solution

The fourth proportional to 634.02, 874.42 and 424.23 is: 585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.02 : 874.42 = 424.23 : x
  2. Step 2: Convert to fraction form
    634.02/874.42 = 424.23/x
  3. Step 3: Cross multiply
    634.02x = 874.42 × 424.23
  4. Step 4: Simplify right side
    634.02x = 370,955.20
  5. Step 5: Solve for x
    x = 370,955.20/634.02
  6. Step 6: Final answer
    x = 585.08

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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.