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Finding the Fourth Proportional to 420.70, 579.19 and 391.26

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Solution

The fourth proportional to 420.70, 579.19 and 391.26 is: 538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.70 : 579.19 = 391.26 : x
  2. Step 2: Convert to fraction form
    420.70/579.19 = 391.26/x
  3. Step 3: Cross multiply
    420.70x = 579.19 × 391.26
  4. Step 4: Simplify right side
    420.70x = 226,613.88
  5. Step 5: Solve for x
    x = 226,613.88/420.70
  6. Step 6: Final answer
    x = 538.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.