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Finding the Fourth Proportional to 531.70, 797.75 and 257.77

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Solution

The fourth proportional to 531.70, 797.75 and 257.77 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.70 : 797.75 = 257.77 : x
  2. Step 2: Convert to fraction form
    531.70/797.75 = 257.77/x
  3. Step 3: Cross multiply
    531.70x = 797.75 × 257.77
  4. Step 4: Simplify right side
    531.70x = 205,636.02
  5. Step 5: Solve for x
    x = 205,636.02/531.70
  6. Step 6: Final answer
    x = 386.75

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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.