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Finding the Fourth Proportional to 472.22, 707.63 and 317.63

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Solution

The fourth proportional to 472.22, 707.63 and 317.63 is: 475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.22 : 707.63 = 317.63 : x
  2. Step 2: Convert to fraction form
    472.22/707.63 = 317.63/x
  3. Step 3: Cross multiply
    472.22x = 707.63 × 317.63
  4. Step 4: Simplify right side
    472.22x = 224,762.93
  5. Step 5: Solve for x
    x = 224,762.93/472.22
  6. Step 6: Final answer
    x = 475.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.