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Finding the Fourth Proportional to 557.69, 835.31 and 551.46

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Solution

The fourth proportional to 557.69, 835.31 and 551.46 is: 825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 835.31 = 551.46 : x
  2. Step 2: Convert to fraction form
    557.69/835.31 = 551.46/x
  3. Step 3: Cross multiply
    557.69x = 835.31 × 551.46
  4. Step 4: Simplify right side
    557.69x = 460,639.87
  5. Step 5: Solve for x
    x = 460,639.87/557.69
  6. Step 6: Final answer
    x = 825.99

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Why These Related Problems?

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