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Finding the Fourth Proportional to 649.20, 973.44 and 572.34

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Solution

The fourth proportional to 649.20, 973.44 and 572.34 is: 858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.20 : 973.44 = 572.34 : x
  2. Step 2: Convert to fraction form
    649.20/973.44 = 572.34/x
  3. Step 3: Cross multiply
    649.20x = 973.44 × 572.34
  4. Step 4: Simplify right side
    649.20x = 557,138.65
  5. Step 5: Solve for x
    x = 557,138.65/649.20
  6. Step 6: Final answer
    x = 858.19

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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.