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Finding the Fourth Proportional to 473.88, 653.80 and 277.26

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Solution

The fourth proportional to 473.88, 653.80 and 277.26 is: 382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.88 : 653.80 = 277.26 : x
  2. Step 2: Convert to fraction form
    473.88/653.80 = 277.26/x
  3. Step 3: Cross multiply
    473.88x = 653.80 × 277.26
  4. Step 4: Simplify right side
    473.88x = 181,272.59
  5. Step 5: Solve for x
    x = 181,272.59/473.88
  6. Step 6: Final answer
    x = 382.53

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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.