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Finding the Fourth Proportional to 496.31, 684.27 and 407.45

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Solution

The fourth proportional to 496.31, 684.27 and 407.45 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.31 : 684.27 = 407.45 : x
  2. Step 2: Convert to fraction form
    496.31/684.27 = 407.45/x
  3. Step 3: Cross multiply
    496.31x = 684.27 × 407.45
  4. Step 4: Simplify right side
    496.31x = 278,807.52
  5. Step 5: Solve for x
    x = 278,807.52/496.31
  6. Step 6: Final answer
    x = 561.77

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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.