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Finding the Fourth Proportional to 472.04, 649.50 and 459.96

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Solution

The fourth proportional to 472.04, 649.50 and 459.96 is: 632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.04 : 649.50 = 459.96 : x
  2. Step 2: Convert to fraction form
    472.04/649.50 = 459.96/x
  3. Step 3: Cross multiply
    472.04x = 649.50 × 459.96
  4. Step 4: Simplify right side
    472.04x = 298,744.02
  5. Step 5: Solve for x
    x = 298,744.02/472.04
  6. Step 6: Final answer
    x = 632.89

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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.