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Finding the Fourth Proportional to 569.49, 785.95 and 333.56

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Solution

The fourth proportional to 569.49, 785.95 and 333.56 is: 460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.49 : 785.95 = 333.56 : x
  2. Step 2: Convert to fraction form
    569.49/785.95 = 333.56/x
  3. Step 3: Cross multiply
    569.49x = 785.95 × 333.56
  4. Step 4: Simplify right side
    569.49x = 262,161.48
  5. Step 5: Solve for x
    x = 262,161.48/569.49
  6. Step 6: Final answer
    x = 460.34

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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.