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Finding the Fourth Proportional to 672.10, 927.52 and 416.64

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Solution

The fourth proportional to 672.10, 927.52 and 416.64 is: 574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.10 : 927.52 = 416.64 : x
  2. Step 2: Convert to fraction form
    672.10/927.52 = 416.64/x
  3. Step 3: Cross multiply
    672.10x = 927.52 × 416.64
  4. Step 4: Simplify right side
    672.10x = 386,441.93
  5. Step 5: Solve for x
    x = 386,441.93/672.10
  6. Step 6: Final answer
    x = 574.98

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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.