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Finding the Fourth Proportional to 569.17, 785.43 and 345.23

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Solution

The fourth proportional to 569.17, 785.43 and 345.23 is: 476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.17 : 785.43 = 345.23 : x
  2. Step 2: Convert to fraction form
    569.17/785.43 = 345.23/x
  3. Step 3: Cross multiply
    569.17x = 785.43 × 345.23
  4. Step 4: Simplify right side
    569.17x = 271,154.00
  5. Step 5: Solve for x
    x = 271,154.00/569.17
  6. Step 6: Final answer
    x = 476.41

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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.