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Finding the Fourth Proportional to 472.02, 651.42 and 406.68

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Solution

The fourth proportional to 472.02, 651.42 and 406.68 is: 561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 651.42 = 406.68 : x
  2. Step 2: Convert to fraction form
    472.02/651.42 = 406.68/x
  3. Step 3: Cross multiply
    472.02x = 651.42 × 406.68
  4. Step 4: Simplify right side
    472.02x = 264,919.49
  5. Step 5: Solve for x
    x = 264,919.49/472.02
  6. Step 6: Final answer
    x = 561.25

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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.