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Finding the Fourth Proportional to 472.01, 706.64 and 349.67

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Solution

The fourth proportional to 472.01, 706.64 and 349.67 is: 523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.01 : 706.64 = 349.67 : x
  2. Step 2: Convert to fraction form
    472.01/706.64 = 349.67/x
  3. Step 3: Cross multiply
    472.01x = 706.64 × 349.67
  4. Step 4: Simplify right side
    472.01x = 247,090.83
  5. Step 5: Solve for x
    x = 247,090.83/472.01
  6. Step 6: Final answer
    x = 523.49

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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.