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Finding the Fourth Proportional to 631.37, 946.39 and 435.74

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Solution

The fourth proportional to 631.37, 946.39 and 435.74 is: 653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.37 : 946.39 = 435.74 : x
  2. Step 2: Convert to fraction form
    631.37/946.39 = 435.74/x
  3. Step 3: Cross multiply
    631.37x = 946.39 × 435.74
  4. Step 4: Simplify right side
    631.37x = 412,375.95
  5. Step 5: Solve for x
    x = 412,375.95/631.37
  6. Step 6: Final answer
    x = 653.14

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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.