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Finding the Fourth Proportional to 496.94, 686.50 and 410.54

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Solution

The fourth proportional to 496.94, 686.50 and 410.54 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.94 : 686.50 = 410.54 : x
  2. Step 2: Convert to fraction form
    496.94/686.50 = 410.54/x
  3. Step 3: Cross multiply
    496.94x = 686.50 × 410.54
  4. Step 4: Simplify right side
    496.94x = 281,835.71
  5. Step 5: Solve for x
    x = 281,835.71/496.94
  6. Step 6: Final answer
    x = 567.14

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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.