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Finding the Fourth Proportional to 646.66, 892.83 and 497.02

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Solution

The fourth proportional to 646.66, 892.83 and 497.02 is: 686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.66 : 892.83 = 497.02 : x
  2. Step 2: Convert to fraction form
    646.66/892.83 = 497.02/x
  3. Step 3: Cross multiply
    646.66x = 892.83 × 497.02
  4. Step 4: Simplify right side
    646.66x = 443,754.37
  5. Step 5: Solve for x
    x = 443,754.37/646.66
  6. Step 6: Final answer
    x = 686.23

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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.