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Finding the Fourth Proportional to 675.48, 931.58 and 442.68

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Solution

The fourth proportional to 675.48, 931.58 and 442.68 is: 610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 931.58 = 442.68 : x
  2. Step 2: Convert to fraction form
    675.48/931.58 = 442.68/x
  3. Step 3: Cross multiply
    675.48x = 931.58 × 442.68
  4. Step 4: Simplify right side
    675.48x = 412,391.83
  5. Step 5: Solve for x
    x = 412,391.83/675.48
  6. Step 6: Final answer
    x = 610.52

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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.