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Finding the Fourth Proportional to 569.51, 785.73 and 464.41

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Solution

The fourth proportional to 569.51, 785.73 and 464.41 is: 640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.51 : 785.73 = 464.41 : x
  2. Step 2: Convert to fraction form
    569.51/785.73 = 464.41/x
  3. Step 3: Cross multiply
    569.51x = 785.73 × 464.41
  4. Step 4: Simplify right side
    569.51x = 364,899.12
  5. Step 5: Solve for x
    x = 364,899.12/569.51
  6. Step 6: Final answer
    x = 640.73

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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.