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Finding the Fourth Proportional to 425.95, 638.77 and 416.23

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Solution

The fourth proportional to 425.95, 638.77 and 416.23 is: 624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.95 : 638.77 = 416.23 : x
  2. Step 2: Convert to fraction form
    425.95/638.77 = 416.23/x
  3. Step 3: Cross multiply
    425.95x = 638.77 × 416.23
  4. Step 4: Simplify right side
    425.95x = 265,875.24
  5. Step 5: Solve for x
    x = 265,875.24/425.95
  6. Step 6: Final answer
    x = 624.19

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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.