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Finding the Fourth Proportional to 671.58, 926.82 and 409.68

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Solution

The fourth proportional to 671.58, 926.82 and 409.68 is: 565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.58 : 926.82 = 409.68 : x
  2. Step 2: Convert to fraction form
    671.58/926.82 = 409.68/x
  3. Step 3: Cross multiply
    671.58x = 926.82 × 409.68
  4. Step 4: Simplify right side
    671.58x = 379,699.62
  5. Step 5: Solve for x
    x = 379,699.62/671.58
  6. Step 6: Final answer
    x = 565.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.