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Finding the Fourth Proportional to 426.90, 637.00 and 400.78

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Solution

The fourth proportional to 426.90, 637.00 and 400.78 is: 598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.90 : 637.00 = 400.78 : x
  2. Step 2: Convert to fraction form
    426.90/637.00 = 400.78/x
  3. Step 3: Cross multiply
    426.90x = 637.00 × 400.78
  4. Step 4: Simplify right side
    426.90x = 255,295.66
  5. Step 5: Solve for x
    x = 255,295.66/426.90
  6. Step 6: Final answer
    x = 598.02

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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.