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Finding the Fourth Proportional to 672.50, 927.54 and 476.06

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Solution

The fourth proportional to 672.50, 927.54 and 476.06 is: 656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.50 : 927.54 = 476.06 : x
  2. Step 2: Convert to fraction form
    672.50/927.54 = 476.06/x
  3. Step 3: Cross multiply
    672.50x = 927.54 × 476.06
  4. Step 4: Simplify right side
    672.50x = 441,564.69
  5. Step 5: Solve for x
    x = 441,564.69/672.50
  6. Step 6: Final answer
    x = 656.60

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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.