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Finding the Fourth Proportional to 632.36, 944.64 and 457.64

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Solution

The fourth proportional to 632.36, 944.64 and 457.64 is: 683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.36 : 944.64 = 457.64 : x
  2. Step 2: Convert to fraction form
    632.36/944.64 = 457.64/x
  3. Step 3: Cross multiply
    632.36x = 944.64 × 457.64
  4. Step 4: Simplify right side
    632.36x = 432,305.05
  5. Step 5: Solve for x
    x = 432,305.05/632.36
  6. Step 6: Final answer
    x = 683.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.