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Finding the Fourth Proportional to 473.53, 653.48 and 284.57

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Solution

The fourth proportional to 473.53, 653.48 and 284.57 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.53 : 653.48 = 284.57 : x
  2. Step 2: Convert to fraction form
    473.53/653.48 = 284.57/x
  3. Step 3: Cross multiply
    473.53x = 653.48 × 284.57
  4. Step 4: Simplify right side
    473.53x = 185,956.11
  5. Step 5: Solve for x
    x = 185,956.11/473.53
  6. Step 6: Final answer
    x = 392.71

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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.