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Finding the Fourth Proportional to 531.94, 797.78 and 202.81

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Solution

The fourth proportional to 531.94, 797.78 and 202.81 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.94 : 797.78 = 202.81 : x
  2. Step 2: Convert to fraction form
    531.94/797.78 = 202.81/x
  3. Step 3: Cross multiply
    531.94x = 797.78 × 202.81
  4. Step 4: Simplify right side
    531.94x = 161,792.76
  5. Step 5: Solve for x
    x = 161,792.76/531.94
  6. Step 6: Final answer
    x = 304.16

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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.