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Finding the Fourth Proportional to 531.74, 795.92 and 383.24

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Solution

The fourth proportional to 531.74, 795.92 and 383.24 is: 573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.74 : 795.92 = 383.24 : x
  2. Step 2: Convert to fraction form
    531.74/795.92 = 383.24/x
  3. Step 3: Cross multiply
    531.74x = 795.92 × 383.24
  4. Step 4: Simplify right side
    531.74x = 305,028.38
  5. Step 5: Solve for x
    x = 305,028.38/531.74
  6. Step 6: Final answer
    x = 573.64

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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.