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Finding the Fourth Proportional to 677.66, 934.82 and 412.02

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Solution

The fourth proportional to 677.66, 934.82 and 412.02 is: 568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 934.82 = 412.02 : x
  2. Step 2: Convert to fraction form
    677.66/934.82 = 412.02/x
  3. Step 3: Cross multiply
    677.66x = 934.82 × 412.02
  4. Step 4: Simplify right side
    677.66x = 385,162.48
  5. Step 5: Solve for x
    x = 385,162.48/677.66
  6. Step 6: Final answer
    x = 568.38

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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.