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Finding the Fourth Proportional to 472.21, 651.63 and 297.67

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Solution

The fourth proportional to 472.21, 651.63 and 297.67 is: 410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.21 : 651.63 = 297.67 : x
  2. Step 2: Convert to fraction form
    472.21/651.63 = 297.67/x
  3. Step 3: Cross multiply
    472.21x = 651.63 × 297.67
  4. Step 4: Simplify right side
    472.21x = 193,970.70
  5. Step 5: Solve for x
    x = 193,970.70/472.21
  6. Step 6: Final answer
    x = 410.77

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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.