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Finding the Fourth Proportional to 664.64, 914.98 and 498.57

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Solution

The fourth proportional to 664.64, 914.98 and 498.57 is: 686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 914.98 = 498.57 : x
  2. Step 2: Convert to fraction form
    664.64/914.98 = 498.57/x
  3. Step 3: Cross multiply
    664.64x = 914.98 × 498.57
  4. Step 4: Simplify right side
    664.64x = 456,180.33
  5. Step 5: Solve for x
    x = 456,180.33/664.64
  6. Step 6: Final answer
    x = 686.36

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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.