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Finding the Fourth Proportional to 531.33, 797.69 and 409.69

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Solution

The fourth proportional to 531.33, 797.69 and 409.69 is: 615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.33 : 797.69 = 409.69 : x
  2. Step 2: Convert to fraction form
    531.33/797.69 = 409.69/x
  3. Step 3: Cross multiply
    531.33x = 797.69 × 409.69
  4. Step 4: Simplify right side
    531.33x = 326,805.62
  5. Step 5: Solve for x
    x = 326,805.62/531.33
  6. Step 6: Final answer
    x = 615.07

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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.