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Finding the Fourth Proportional to 531.78, 797.21 and 202.53

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Solution

The fourth proportional to 531.78, 797.21 and 202.53 is: 303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.78 : 797.21 = 202.53 : x
  2. Step 2: Convert to fraction form
    531.78/797.21 = 202.53/x
  3. Step 3: Cross multiply
    531.78x = 797.21 × 202.53
  4. Step 4: Simplify right side
    531.78x = 161,461.68
  5. Step 5: Solve for x
    x = 161,461.68/531.78
  6. Step 6: Final answer
    x = 303.62

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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.