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Finding the Fourth Proportional to 569.06, 785.10 and 345.06

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Solution

The fourth proportional to 569.06, 785.10 and 345.06 is: 476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 785.10 = 345.06 : x
  2. Step 2: Convert to fraction form
    569.06/785.10 = 345.06/x
  3. Step 3: Cross multiply
    569.06x = 785.10 × 345.06
  4. Step 4: Simplify right side
    569.06x = 270,907.90
  5. Step 5: Solve for x
    x = 270,907.90/569.06
  6. Step 6: Final answer
    x = 476.06

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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.