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Finding the Fourth Proportional to 505.71, 698.27 and 407.90

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Solution

The fourth proportional to 505.71, 698.27 and 407.90 is: 563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.71 : 698.27 = 407.90 : x
  2. Step 2: Convert to fraction form
    505.71/698.27 = 407.90/x
  3. Step 3: Cross multiply
    505.71x = 698.27 × 407.90
  4. Step 4: Simplify right side
    505.71x = 284,824.33
  5. Step 5: Solve for x
    x = 284,824.33/505.71
  6. Step 6: Final answer
    x = 563.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.