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Finding the Fourth Proportional to 671.87, 927.35 and 410.11

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Solution

The fourth proportional to 671.87, 927.35 and 410.11 is: 566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.87 : 927.35 = 410.11 : x
  2. Step 2: Convert to fraction form
    671.87/927.35 = 410.11/x
  3. Step 3: Cross multiply
    671.87x = 927.35 × 410.11
  4. Step 4: Simplify right side
    671.87x = 380,312.68
  5. Step 5: Solve for x
    x = 380,312.68/671.87
  6. Step 6: Final answer
    x = 566.05

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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.