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Finding the Fourth Proportional to 677.84, 1,016.52 and 293.12

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Solution

The fourth proportional to 677.84, 1,016.52 and 293.12 is: 439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 1,016.52 = 293.12 : x
  2. Step 2: Convert to fraction form
    677.84/1,016.52 = 293.12/x
  3. Step 3: Cross multiply
    677.84x = 1,016.52 × 293.12
  4. Step 4: Simplify right side
    677.84x = 297,962.34
  5. Step 5: Solve for x
    x = 297,962.34/677.84
  6. Step 6: Final answer
    x = 439.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.