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Finding the Fourth Proportional to 671.34, 926.75 and 409.46

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Solution

The fourth proportional to 671.34, 926.75 and 409.46 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.34 : 926.75 = 409.46 : x
  2. Step 2: Convert to fraction form
    671.34/926.75 = 409.46/x
  3. Step 3: Cross multiply
    671.34x = 926.75 × 409.46
  4. Step 4: Simplify right side
    671.34x = 379,467.06
  5. Step 5: Solve for x
    x = 379,467.06/671.34
  6. Step 6: Final answer
    x = 565.24

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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.