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Finding the Fourth Proportional to 569.24, 785.10 and 361.88

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Solution

The fourth proportional to 569.24, 785.10 and 361.88 is: 499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.24 : 785.10 = 361.88 : x
  2. Step 2: Convert to fraction form
    569.24/785.10 = 361.88/x
  3. Step 3: Cross multiply
    569.24x = 785.10 × 361.88
  4. Step 4: Simplify right side
    569.24x = 284,111.99
  5. Step 5: Solve for x
    x = 284,111.99/569.24
  6. Step 6: Final answer
    x = 499.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.