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Finding the Fourth Proportional to 473.78, 653.76 and 284.69

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Solution

The fourth proportional to 473.78, 653.76 and 284.69 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 653.76 = 284.69 : x
  2. Step 2: Convert to fraction form
    473.78/653.76 = 284.69/x
  3. Step 3: Cross multiply
    473.78x = 653.76 × 284.69
  4. Step 4: Simplify right side
    473.78x = 186,118.93
  5. Step 5: Solve for x
    x = 186,118.93/473.78
  6. Step 6: Final answer
    x = 392.84

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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.