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Finding the Fourth Proportional to 570.90, 849.02 and 552.68

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Solution

The fourth proportional to 570.90, 849.02 and 552.68 is: 821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.90 : 849.02 = 552.68 : x
  2. Step 2: Convert to fraction form
    570.90/849.02 = 552.68/x
  3. Step 3: Cross multiply
    570.90x = 849.02 × 552.68
  4. Step 4: Simplify right side
    570.90x = 469,236.37
  5. Step 5: Solve for x
    x = 469,236.37/570.90
  6. Step 6: Final answer
    x = 821.92

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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.