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Finding the Fourth Proportional to 677.39, 935.45 and 468.09

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Solution

The fourth proportional to 677.39, 935.45 and 468.09 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.39 : 935.45 = 468.09 : x
  2. Step 2: Convert to fraction form
    677.39/935.45 = 468.09/x
  3. Step 3: Cross multiply
    677.39x = 935.45 × 468.09
  4. Step 4: Simplify right side
    677.39x = 437,872.45
  5. Step 5: Solve for x
    x = 437,872.45/677.39
  6. Step 6: Final answer
    x = 646.42

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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.