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Finding the Fourth Proportional to 556.92, 833.94 and 465.39

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Solution

The fourth proportional to 556.92, 833.94 and 465.39 is: 696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 833.94 = 465.39 : x
  2. Step 2: Convert to fraction form
    556.92/833.94 = 465.39/x
  3. Step 3: Cross multiply
    556.92x = 833.94 × 465.39
  4. Step 4: Simplify right side
    556.92x = 388,107.34
  5. Step 5: Solve for x
    x = 388,107.34/556.92
  6. Step 6: Final answer
    x = 696.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.