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Finding the Fourth Proportional to 426.74, 637.02 and 364.77

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Solution

The fourth proportional to 426.74, 637.02 and 364.77 is: 544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.74 : 637.02 = 364.77 : x
  2. Step 2: Convert to fraction form
    426.74/637.02 = 364.77/x
  3. Step 3: Cross multiply
    426.74x = 637.02 × 364.77
  4. Step 4: Simplify right side
    426.74x = 232,365.79
  5. Step 5: Solve for x
    x = 232,365.79/426.74
  6. Step 6: Final answer
    x = 544.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.