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Finding the Fourth Proportional to 426.57, 639.77 and 152.66

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Solution

The fourth proportional to 426.57, 639.77 and 152.66 is: 228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.57 : 639.77 = 152.66 : x
  2. Step 2: Convert to fraction form
    426.57/639.77 = 152.66/x
  3. Step 3: Cross multiply
    426.57x = 639.77 × 152.66
  4. Step 4: Simplify right side
    426.57x = 97,663.33
  5. Step 5: Solve for x
    x = 97,663.33/426.57
  6. Step 6: Final answer
    x = 228.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.