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Finding the Fourth Proportional to 531.67, 797.37 and 185.01

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Solution

The fourth proportional to 531.67, 797.37 and 185.01 is: 277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.67 : 797.37 = 185.01 : x
  2. Step 2: Convert to fraction form
    531.67/797.37 = 185.01/x
  3. Step 3: Cross multiply
    531.67x = 797.37 × 185.01
  4. Step 4: Simplify right side
    531.67x = 147,521.42
  5. Step 5: Solve for x
    x = 147,521.42/531.67
  6. Step 6: Final answer
    x = 277.47

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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.