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Finding the Fourth Proportional to 473.69, 653.63 and 263.82

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Solution

The fourth proportional to 473.69, 653.63 and 263.82 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.69 : 653.63 = 263.82 : x
  2. Step 2: Convert to fraction form
    473.69/653.63 = 263.82/x
  3. Step 3: Cross multiply
    473.69x = 653.63 × 263.82
  4. Step 4: Simplify right side
    473.69x = 172,438.06
  5. Step 5: Solve for x
    x = 172,438.06/473.69
  6. Step 6: Final answer
    x = 364.03

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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.