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Finding the Fourth Proportional to 473.86, 653.95 and 277.49

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Solution

The fourth proportional to 473.86, 653.95 and 277.49 is: 382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.86 : 653.95 = 277.49 : x
  2. Step 2: Convert to fraction form
    473.86/653.95 = 277.49/x
  3. Step 3: Cross multiply
    473.86x = 653.95 × 277.49
  4. Step 4: Simplify right side
    473.86x = 181,464.59
  5. Step 5: Solve for x
    x = 181,464.59/473.86
  6. Step 6: Final answer
    x = 382.95

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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.