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Finding the Fourth Proportional to 570.26, 854.49 and 326.06

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Solution

The fourth proportional to 570.26, 854.49 and 326.06 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.26 : 854.49 = 326.06 : x
  2. Step 2: Convert to fraction form
    570.26/854.49 = 326.06/x
  3. Step 3: Cross multiply
    570.26x = 854.49 × 326.06
  4. Step 4: Simplify right side
    570.26x = 278,615.01
  5. Step 5: Solve for x
    x = 278,615.01/570.26
  6. Step 6: Final answer
    x = 488.58

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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.