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Finding the Fourth Proportional to 531.48, 797.10 and 202.38

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Solution

The fourth proportional to 531.48, 797.10 and 202.38 is: 303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.48 : 797.10 = 202.38 : x
  2. Step 2: Convert to fraction form
    531.48/797.10 = 202.38/x
  3. Step 3: Cross multiply
    531.48x = 797.10 × 202.38
  4. Step 4: Simplify right side
    531.48x = 161,317.10
  5. Step 5: Solve for x
    x = 161,317.10/531.48
  6. Step 6: Final answer
    x = 303.52

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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.