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Finding the Fourth Proportional to 531.02, 796.23 and 287.41

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Solution

The fourth proportional to 531.02, 796.23 and 287.41 is: 430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.02 : 796.23 = 287.41 : x
  2. Step 2: Convert to fraction form
    531.02/796.23 = 287.41/x
  3. Step 3: Cross multiply
    531.02x = 796.23 × 287.41
  4. Step 4: Simplify right side
    531.02x = 228,844.46
  5. Step 5: Solve for x
    x = 228,844.46/531.02
  6. Step 6: Final answer
    x = 430.95

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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.