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Finding the Fourth Proportional to 569.25, 785.07 and 345.13

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Solution

The fourth proportional to 569.25, 785.07 and 345.13 is: 475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.25 : 785.07 = 345.13 : x
  2. Step 2: Convert to fraction form
    569.25/785.07 = 345.13/x
  3. Step 3: Cross multiply
    569.25x = 785.07 × 345.13
  4. Step 4: Simplify right side
    569.25x = 270,949.89
  5. Step 5: Solve for x
    x = 270,949.89/569.25
  6. Step 6: Final answer
    x = 475.98

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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.