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Finding the Fourth Proportional to 675.29, 931.61 and 442.01

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Solution

The fourth proportional to 675.29, 931.61 and 442.01 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.29 : 931.61 = 442.01 : x
  2. Step 2: Convert to fraction form
    675.29/931.61 = 442.01/x
  3. Step 3: Cross multiply
    675.29x = 931.61 × 442.01
  4. Step 4: Simplify right side
    675.29x = 411,780.94
  5. Step 5: Solve for x
    x = 411,780.94/675.29
  6. Step 6: Final answer
    x = 609.78

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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.