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Finding the Fourth Proportional to 570.44, 854.85 and 416.72

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Solution

The fourth proportional to 570.44, 854.85 and 416.72 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.44 : 854.85 = 416.72 : x
  2. Step 2: Convert to fraction form
    570.44/854.85 = 416.72/x
  3. Step 3: Cross multiply
    570.44x = 854.85 × 416.72
  4. Step 4: Simplify right side
    570.44x = 356,233.09
  5. Step 5: Solve for x
    x = 356,233.09/570.44
  6. Step 6: Final answer
    x = 624.49

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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.