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Finding the Fourth Proportional to 677.10, 1,014.85 and 287.10

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Solution

The fourth proportional to 677.10, 1,014.85 and 287.10 is: 430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.10 : 1,014.85 = 287.10 : x
  2. Step 2: Convert to fraction form
    677.10/1,014.85 = 287.10/x
  3. Step 3: Cross multiply
    677.10x = 1,014.85 × 287.10
  4. Step 4: Simplify right side
    677.10x = 291,363.44
  5. Step 5: Solve for x
    x = 291,363.44/677.10
  6. Step 6: Final answer
    x = 430.31

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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.