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Finding the Fourth Proportional to 664.09, 916.51 and 498.02

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Solution

The fourth proportional to 664.09, 916.51 and 498.02 is: 687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 916.51 = 498.02 : x
  2. Step 2: Convert to fraction form
    664.09/916.51 = 498.02/x
  3. Step 3: Cross multiply
    664.09x = 916.51 × 498.02
  4. Step 4: Simplify right side
    664.09x = 456,440.31
  5. Step 5: Solve for x
    x = 456,440.31/664.09
  6. Step 6: Final answer
    x = 687.32

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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.