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Finding the Fourth Proportional to 675.36, 931.68 and 442.32

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Solution

The fourth proportional to 675.36, 931.68 and 442.32 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.36 : 931.68 = 442.32 : x
  2. Step 2: Convert to fraction form
    675.36/931.68 = 442.32/x
  3. Step 3: Cross multiply
    675.36x = 931.68 × 442.32
  4. Step 4: Simplify right side
    675.36x = 412,100.70
  5. Step 5: Solve for x
    x = 412,100.70/675.36
  6. Step 6: Final answer
    x = 610.19

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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.