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Finding the Fourth Proportional to 426.43, 639.51 and 152.47

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Solution

The fourth proportional to 426.43, 639.51 and 152.47 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.43 : 639.51 = 152.47 : x
  2. Step 2: Convert to fraction form
    426.43/639.51 = 152.47/x
  3. Step 3: Cross multiply
    426.43x = 639.51 × 152.47
  4. Step 4: Simplify right side
    426.43x = 97,506.09
  5. Step 5: Solve for x
    x = 97,506.09/426.43
  6. Step 6: Final answer
    x = 228.66

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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.