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Finding the Fourth Proportional to 677.40, 1,016.10 and 312.08

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Solution

The fourth proportional to 677.40, 1,016.10 and 312.08 is: 468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.40 : 1,016.10 = 312.08 : x
  2. Step 2: Convert to fraction form
    677.40/1,016.10 = 312.08/x
  3. Step 3: Cross multiply
    677.40x = 1,016.10 × 312.08
  4. Step 4: Simplify right side
    677.40x = 317,104.49
  5. Step 5: Solve for x
    x = 317,104.49/677.40
  6. Step 6: Final answer
    x = 468.12

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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.