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Finding the Fourth Proportional to 496.07, 684.35 and 296.81

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Solution

The fourth proportional to 496.07, 684.35 and 296.81 is: 409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.07 : 684.35 = 296.81 : x
  2. Step 2: Convert to fraction form
    496.07/684.35 = 296.81/x
  3. Step 3: Cross multiply
    496.07x = 684.35 × 296.81
  4. Step 4: Simplify right side
    496.07x = 203,124.55
  5. Step 5: Solve for x
    x = 203,124.55/496.07
  6. Step 6: Final answer
    x = 409.46

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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.