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Finding the Fourth Proportional to 677.08, 1,015.74 and 292.24

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Solution

The fourth proportional to 677.08, 1,015.74 and 292.24 is: 438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.08 : 1,015.74 = 292.24 : x
  2. Step 2: Convert to fraction form
    677.08/1,015.74 = 292.24/x
  3. Step 3: Cross multiply
    677.08x = 1,015.74 × 292.24
  4. Step 4: Simplify right side
    677.08x = 296,839.86
  5. Step 5: Solve for x
    x = 296,839.86/677.08
  6. Step 6: Final answer
    x = 438.41

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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.