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Finding the Fourth Proportional to 426.89, 640.47 and 152.84

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Solution

The fourth proportional to 426.89, 640.47 and 152.84 is: 229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.89 : 640.47 = 152.84 : x
  2. Step 2: Convert to fraction form
    426.89/640.47 = 152.84/x
  3. Step 3: Cross multiply
    426.89x = 640.47 × 152.84
  4. Step 4: Simplify right side
    426.89x = 97,886.23
  5. Step 5: Solve for x
    x = 97,886.23/426.89
  6. Step 6: Final answer
    x = 229.30

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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.