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Finding the Fourth Proportional to 631.66, 871.70 and 382.94

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Solution

The fourth proportional to 631.66, 871.70 and 382.94 is: 528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.66 : 871.70 = 382.94 : x
  2. Step 2: Convert to fraction form
    631.66/871.70 = 382.94/x
  3. Step 3: Cross multiply
    631.66x = 871.70 × 382.94
  4. Step 4: Simplify right side
    631.66x = 333,802.52
  5. Step 5: Solve for x
    x = 333,802.52/631.66
  6. Step 6: Final answer
    x = 528.45

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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.