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Finding the Fourth Proportional to 677.28, 935.36 and 509.68

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Solution

The fourth proportional to 677.28, 935.36 and 509.68 is: 703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.28 : 935.36 = 509.68 : x
  2. Step 2: Convert to fraction form
    677.28/935.36 = 509.68/x
  3. Step 3: Cross multiply
    677.28x = 935.36 × 509.68
  4. Step 4: Simplify right side
    677.28x = 476,734.28
  5. Step 5: Solve for x
    x = 476,734.28/677.28
  6. Step 6: Final answer
    x = 703.90

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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.