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Finding the Fourth Proportional to 531.11, 797.12 and 284.51

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Solution

The fourth proportional to 531.11, 797.12 and 284.51 is: 427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.11 : 797.12 = 284.51 : x
  2. Step 2: Convert to fraction form
    531.11/797.12 = 284.51/x
  3. Step 3: Cross multiply
    531.11x = 797.12 × 284.51
  4. Step 4: Simplify right side
    531.11x = 226,788.61
  5. Step 5: Solve for x
    x = 226,788.61/531.11
  6. Step 6: Final answer
    x = 427.01

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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.