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Finding the Fourth Proportional to 417.44, 570.23 and 414.74

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Solution

The fourth proportional to 417.44, 570.23 and 414.74 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.44 : 570.23 = 414.74 : x
  2. Step 2: Convert to fraction form
    417.44/570.23 = 414.74/x
  3. Step 3: Cross multiply
    417.44x = 570.23 × 414.74
  4. Step 4: Simplify right side
    417.44x = 236,497.19
  5. Step 5: Solve for x
    x = 236,497.19/417.44
  6. Step 6: Final answer
    x = 566.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.