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Finding the Fourth Proportional to 471.93, 704.76 and 466.85

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Solution

The fourth proportional to 471.93, 704.76 and 466.85 is: 697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.93 : 704.76 = 466.85 : x
  2. Step 2: Convert to fraction form
    471.93/704.76 = 466.85/x
  3. Step 3: Cross multiply
    471.93x = 704.76 × 466.85
  4. Step 4: Simplify right side
    471.93x = 329,011.35
  5. Step 5: Solve for x
    x = 329,011.35/471.93
  6. Step 6: Final answer
    x = 697.16

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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.