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Finding the Fourth Proportional to 570.36, 854.38 and 261.79

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Solution

The fourth proportional to 570.36, 854.38 and 261.79 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.36 : 854.38 = 261.79 : x
  2. Step 2: Convert to fraction form
    570.36/854.38 = 261.79/x
  3. Step 3: Cross multiply
    570.36x = 854.38 × 261.79
  4. Step 4: Simplify right side
    570.36x = 223,668.14
  5. Step 5: Solve for x
    x = 223,668.14/570.36
  6. Step 6: Final answer
    x = 392.15

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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.