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Finding the Fourth Proportional to 473.68, 653.82 and 277.24

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Solution

The fourth proportional to 473.68, 653.82 and 277.24 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.68 : 653.82 = 277.24 : x
  2. Step 2: Convert to fraction form
    473.68/653.82 = 277.24/x
  3. Step 3: Cross multiply
    473.68x = 653.82 × 277.24
  4. Step 4: Simplify right side
    473.68x = 181,265.06
  5. Step 5: Solve for x
    x = 181,265.06/473.68
  6. Step 6: Final answer
    x = 382.67

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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.