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Finding the Fourth Proportional to 473.98, 654.17 and 277.60

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Solution

The fourth proportional to 473.98, 654.17 and 277.60 is: 383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.98 : 654.17 = 277.60 : x
  2. Step 2: Convert to fraction form
    473.98/654.17 = 277.60/x
  3. Step 3: Cross multiply
    473.98x = 654.17 × 277.60
  4. Step 4: Simplify right side
    473.98x = 181,597.59
  5. Step 5: Solve for x
    x = 181,597.59/473.98
  6. Step 6: Final answer
    x = 383.13

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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.