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Finding the Fourth Proportional to 677.86, 1,016.42 and 352.42

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Solution

The fourth proportional to 677.86, 1,016.42 and 352.42 is: 528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.86 : 1,016.42 = 352.42 : x
  2. Step 2: Convert to fraction form
    677.86/1,016.42 = 352.42/x
  3. Step 3: Cross multiply
    677.86x = 1,016.42 × 352.42
  4. Step 4: Simplify right side
    677.86x = 358,206.74
  5. Step 5: Solve for x
    x = 358,206.74/677.86
  6. Step 6: Final answer
    x = 528.44

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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.