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Finding the Fourth Proportional to 472.12, 651.61 and 295.16

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Solution

The fourth proportional to 472.12, 651.61 and 295.16 is: 407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 651.61 = 295.16 : x
  2. Step 2: Convert to fraction form
    472.12/651.61 = 295.16/x
  3. Step 3: Cross multiply
    472.12x = 651.61 × 295.16
  4. Step 4: Simplify right side
    472.12x = 192,329.21
  5. Step 5: Solve for x
    x = 192,329.21/472.12
  6. Step 6: Final answer
    x = 407.37

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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.