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Finding the Fourth Proportional to 424.36, 632.35 and 400.06

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Solution

The fourth proportional to 424.36, 632.35 and 400.06 is: 596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.36 : 632.35 = 400.06 : x
  2. Step 2: Convert to fraction form
    424.36/632.35 = 400.06/x
  3. Step 3: Cross multiply
    424.36x = 632.35 × 400.06
  4. Step 4: Simplify right side
    424.36x = 252,977.94
  5. Step 5: Solve for x
    x = 252,977.94/424.36
  6. Step 6: Final answer
    x = 596.14

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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.