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Finding the Fourth Proportional to 570.26, 854.24 and 338.46

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Solution

The fourth proportional to 570.26, 854.24 and 338.46 is: 507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.26 : 854.24 = 338.46 : x
  2. Step 2: Convert to fraction form
    570.26/854.24 = 338.46/x
  3. Step 3: Cross multiply
    570.26x = 854.24 × 338.46
  4. Step 4: Simplify right side
    570.26x = 289,124.38
  5. Step 5: Solve for x
    x = 289,124.38/570.26
  6. Step 6: Final answer
    x = 507.01

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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.