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Finding the Fourth Proportional to 473.71, 653.72 and 277.23

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Solution

The fourth proportional to 473.71, 653.72 and 277.23 is: 382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.71 : 653.72 = 277.23 : x
  2. Step 2: Convert to fraction form
    473.71/653.72 = 277.23/x
  3. Step 3: Cross multiply
    473.71x = 653.72 × 277.23
  4. Step 4: Simplify right side
    473.71x = 181,227.53
  5. Step 5: Solve for x
    x = 181,227.53/473.71
  6. Step 6: Final answer
    x = 382.57

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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.