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Finding the Fourth Proportional to 531.45, 797.87 and 409.82

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Solution

The fourth proportional to 531.45, 797.87 and 409.82 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.45 : 797.87 = 409.82 : x
  2. Step 2: Convert to fraction form
    531.45/797.87 = 409.82/x
  3. Step 3: Cross multiply
    531.45x = 797.87 × 409.82
  4. Step 4: Simplify right side
    531.45x = 326,980.12
  5. Step 5: Solve for x
    x = 326,980.12/531.45
  6. Step 6: Final answer
    x = 615.26

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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.