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Finding the Fourth Proportional to 677.15, 1,015.86 and 312.05

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Solution

The fourth proportional to 677.15, 1,015.86 and 312.05 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.15 : 1,015.86 = 312.05 : x
  2. Step 2: Convert to fraction form
    677.15/1,015.86 = 312.05/x
  3. Step 3: Cross multiply
    677.15x = 1,015.86 × 312.05
  4. Step 4: Simplify right side
    677.15x = 316,999.11
  5. Step 5: Solve for x
    x = 316,999.11/677.15
  6. Step 6: Final answer
    x = 468.14

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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.