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Finding the Fourth Proportional to 570.97, 851.97 and 536.14

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Solution

The fourth proportional to 570.97, 851.97 and 536.14 is: 799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.97 : 851.97 = 536.14 : x
  2. Step 2: Convert to fraction form
    570.97/851.97 = 536.14/x
  3. Step 3: Cross multiply
    570.97x = 851.97 × 536.14
  4. Step 4: Simplify right side
    570.97x = 456,768.26
  5. Step 5: Solve for x
    x = 456,768.26/570.97
  6. Step 6: Final answer
    x = 799.99

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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.