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Finding the Fourth Proportional to 632.70, 945.38 and 483.63

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Solution

The fourth proportional to 632.70, 945.38 and 483.63 is: 722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.70 : 945.38 = 483.63 : x
  2. Step 2: Convert to fraction form
    632.70/945.38 = 483.63/x
  3. Step 3: Cross multiply
    632.70x = 945.38 × 483.63
  4. Step 4: Simplify right side
    632.70x = 457,214.39
  5. Step 5: Solve for x
    x = 457,214.39/632.70
  6. Step 6: Final answer
    x = 722.64

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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.