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Finding the Fourth Proportional to 410.86, 616 and 194.32

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Solution

The fourth proportional to 410.86, 616 and 194.32 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.86 : 616 = 194.32 : x
  2. Step 2: Convert to fraction form
    410.86/616 = 194.32/x
  3. Step 3: Cross multiply
    410.86x = 616 × 194.32
  4. Step 4: Simplify right side
    410.86x = 119,701.12
  5. Step 5: Solve for x
    x = 119,701.12/410.86
  6. Step 6: Final answer
    x = 291.34

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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.