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Finding the Fourth Proportional to 651.41, 973.04 and 467.34

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Solution

The fourth proportional to 651.41, 973.04 and 467.34 is: 698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.41 : 973.04 = 467.34 : x
  2. Step 2: Convert to fraction form
    651.41/973.04 = 467.34/x
  3. Step 3: Cross multiply
    651.41x = 973.04 × 467.34
  4. Step 4: Simplify right side
    651.41x = 454,738.18
  5. Step 5: Solve for x
    x = 454,738.18/651.41
  6. Step 6: Final answer
    x = 698.09

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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.