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Finding the Fourth Proportional to 647.24, 972.22 and 465.80

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Solution

The fourth proportional to 647.24, 972.22 and 465.80 is: 699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 972.22 = 465.80 : x
  2. Step 2: Convert to fraction form
    647.24/972.22 = 465.80/x
  3. Step 3: Cross multiply
    647.24x = 972.22 × 465.80
  4. Step 4: Simplify right side
    647.24x = 452,860.08
  5. Step 5: Solve for x
    x = 452,860.08/647.24
  6. Step 6: Final answer
    x = 699.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.