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Finding the Fourth Proportional to 569.24, 849.02 and 504.99

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Solution

The fourth proportional to 569.24, 849.02 and 504.99 is: 753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.24 : 849.02 = 504.99 : x
  2. Step 2: Convert to fraction form
    569.24/849.02 = 504.99/x
  3. Step 3: Cross multiply
    569.24x = 849.02 × 504.99
  4. Step 4: Simplify right side
    569.24x = 428,744.08
  5. Step 5: Solve for x
    x = 428,744.08/569.24
  6. Step 6: Final answer
    x = 753.19

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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.