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Finding the Fourth Proportional to 677.33, 934.57 and 397.47

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Solution

The fourth proportional to 677.33, 934.57 and 397.47 is: 548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.33 : 934.57 = 397.47 : x
  2. Step 2: Convert to fraction form
    677.33/934.57 = 397.47/x
  3. Step 3: Cross multiply
    677.33x = 934.57 × 397.47
  4. Step 4: Simplify right side
    677.33x = 371,460.05
  5. Step 5: Solve for x
    x = 371,460.05/677.33
  6. Step 6: Final answer
    x = 548.41

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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.