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Finding the Fourth Proportional to 531.58, 797.02 and 206.56

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Solution

The fourth proportional to 531.58, 797.02 and 206.56 is: 309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.58 : 797.02 = 206.56 : x
  2. Step 2: Convert to fraction form
    531.58/797.02 = 206.56/x
  3. Step 3: Cross multiply
    531.58x = 797.02 × 206.56
  4. Step 4: Simplify right side
    531.58x = 164,632.45
  5. Step 5: Solve for x
    x = 164,632.45/531.58
  6. Step 6: Final answer
    x = 309.70

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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.