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Finding the Fourth Proportional to 531.48, 797.22 and 185.07

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Solution

The fourth proportional to 531.48, 797.22 and 185.07 is: 277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.48 : 797.22 = 185.07 : x
  2. Step 2: Convert to fraction form
    531.48/797.22 = 185.07/x
  3. Step 3: Cross multiply
    531.48x = 797.22 × 185.07
  4. Step 4: Simplify right side
    531.48x = 147,541.51
  5. Step 5: Solve for x
    x = 147,541.51/531.48
  6. Step 6: Final answer
    x = 277.61

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Similar ratio
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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.