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Finding the Fourth Proportional to 631.79, 946.98 and 477.22

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Solution

The fourth proportional to 631.79, 946.98 and 477.22 is: 715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.79 : 946.98 = 477.22 : x
  2. Step 2: Convert to fraction form
    631.79/946.98 = 477.22/x
  3. Step 3: Cross multiply
    631.79x = 946.98 × 477.22
  4. Step 4: Simplify right side
    631.79x = 451,917.80
  5. Step 5: Solve for x
    x = 451,917.80/631.79
  6. Step 6: Final answer
    x = 715.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.