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Finding the Fourth Proportional to 675.06, 930.36 and 500.10

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Solution

The fourth proportional to 675.06, 930.36 and 500.10 is: 689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.06 : 930.36 = 500.10 : x
  2. Step 2: Convert to fraction form
    675.06/930.36 = 500.10/x
  3. Step 3: Cross multiply
    675.06x = 930.36 × 500.10
  4. Step 4: Simplify right side
    675.06x = 465,273.04
  5. Step 5: Solve for x
    x = 465,273.04/675.06
  6. Step 6: Final answer
    x = 689.23

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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.