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Finding the Fourth Proportional to 570.11, 849.35 and 550.53

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Solution

The fourth proportional to 570.11, 849.35 and 550.53 is: 820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.11 : 849.35 = 550.53 : x
  2. Step 2: Convert to fraction form
    570.11/849.35 = 550.53/x
  3. Step 3: Cross multiply
    570.11x = 849.35 × 550.53
  4. Step 4: Simplify right side
    570.11x = 467,594.03
  5. Step 5: Solve for x
    x = 467,594.03/570.11
  6. Step 6: Final answer
    x = 820.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.