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Finding the Fourth Proportional to 473.94, 653.71 and 277.32

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Solution

The fourth proportional to 473.94, 653.71 and 277.32 is: 382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 653.71 = 277.32 : x
  2. Step 2: Convert to fraction form
    473.94/653.71 = 277.32/x
  3. Step 3: Cross multiply
    473.94x = 653.71 × 277.32
  4. Step 4: Simplify right side
    473.94x = 181,286.86
  5. Step 5: Solve for x
    x = 181,286.86/473.94
  6. Step 6: Final answer
    x = 382.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.