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Finding the Fourth Proportional to 473.67, 653.63 and 284.61

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Solution

The fourth proportional to 473.67, 653.63 and 284.61 is: 392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.67 : 653.63 = 284.61 : x
  2. Step 2: Convert to fraction form
    473.67/653.63 = 284.61/x
  3. Step 3: Cross multiply
    473.67x = 653.63 × 284.61
  4. Step 4: Simplify right side
    473.67x = 186,028.21
  5. Step 5: Solve for x
    x = 186,028.21/473.67
  6. Step 6: Final answer
    x = 392.74

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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.