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Finding the Fourth Proportional to 404.74, 607 and 130.86

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Solution

The fourth proportional to 404.74, 607 and 130.86 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.74 : 607 = 130.86 : x
  2. Step 2: Convert to fraction form
    404.74/607 = 130.86/x
  3. Step 3: Cross multiply
    404.74x = 607 × 130.86
  4. Step 4: Simplify right side
    404.74x = 79,432.02
  5. Step 5: Solve for x
    x = 79,432.02/404.74
  6. Step 6: Final answer
    x = 196.25

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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.