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Finding the Fourth Proportional to 675.50, 931.01 and 498.26

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Solution

The fourth proportional to 675.50, 931.01 and 498.26 is: 686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 931.01 = 498.26 : x
  2. Step 2: Convert to fraction form
    675.50/931.01 = 498.26/x
  3. Step 3: Cross multiply
    675.50x = 931.01 × 498.26
  4. Step 4: Simplify right side
    675.50x = 463,877.90
  5. Step 5: Solve for x
    x = 463,877.90/675.50
  6. Step 6: Final answer
    x = 686.72

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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.