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Finding the Fourth Proportional to 473.24, 704.34 and 468.68

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Solution

The fourth proportional to 473.24, 704.34 and 468.68 is: 697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 704.34 = 468.68 : x
  2. Step 2: Convert to fraction form
    473.24/704.34 = 468.68/x
  3. Step 3: Cross multiply
    473.24x = 704.34 × 468.68
  4. Step 4: Simplify right side
    473.24x = 330,106.55
  5. Step 5: Solve for x
    x = 330,106.55/473.24
  6. Step 6: Final answer
    x = 697.55

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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.