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Finding the Fourth Proportional to 474.68, 706.96 and 446.76

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Solution

The fourth proportional to 474.68, 706.96 and 446.76 is: 665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.68 : 706.96 = 446.76 : x
  2. Step 2: Convert to fraction form
    474.68/706.96 = 446.76/x
  3. Step 3: Cross multiply
    474.68x = 706.96 × 446.76
  4. Step 4: Simplify right side
    474.68x = 315,841.45
  5. Step 5: Solve for x
    x = 315,841.45/474.68
  6. Step 6: Final answer
    x = 665.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.