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Finding the Fourth Proportional to 473.56, 706.67 and 469.96

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Solution

The fourth proportional to 473.56, 706.67 and 469.96 is: 701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.56 : 706.67 = 469.96 : x
  2. Step 2: Convert to fraction form
    473.56/706.67 = 469.96/x
  3. Step 3: Cross multiply
    473.56x = 706.67 × 469.96
  4. Step 4: Simplify right side
    473.56x = 332,106.63
  5. Step 5: Solve for x
    x = 332,106.63/473.56
  6. Step 6: Final answer
    x = 701.30

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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.