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Finding the Fourth Proportional to 569.49, 785.82 and 333.51

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Solution

The fourth proportional to 569.49, 785.82 and 333.51 is: 460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.49 : 785.82 = 333.51 : x
  2. Step 2: Convert to fraction form
    569.49/785.82 = 333.51/x
  3. Step 3: Cross multiply
    569.49x = 785.82 × 333.51
  4. Step 4: Simplify right side
    569.49x = 262,078.83
  5. Step 5: Solve for x
    x = 262,078.83/569.49
  6. Step 6: Final answer
    x = 460.20

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