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Finding the Fourth Proportional to 473.69, 653.72 and 287.18

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Solution

The fourth proportional to 473.69, 653.72 and 287.18 is: 396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.69 : 653.72 = 287.18 : x
  2. Step 2: Convert to fraction form
    473.69/653.72 = 287.18/x
  3. Step 3: Cross multiply
    473.69x = 653.72 × 287.18
  4. Step 4: Simplify right side
    473.69x = 187,733.87
  5. Step 5: Solve for x
    x = 187,733.87/473.69
  6. Step 6: Final answer
    x = 396.33

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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.