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Finding the Fourth Proportional to 569.08, 785.08 and 345.10

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Solution

The fourth proportional to 569.08, 785.08 and 345.10 is: 476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.08 : 785.08 = 345.10 : x
  2. Step 2: Convert to fraction form
    569.08/785.08 = 345.10/x
  3. Step 3: Cross multiply
    569.08x = 785.08 × 345.10
  4. Step 4: Simplify right side
    569.08x = 270,929.46
  5. Step 5: Solve for x
    x = 270,929.46/569.08
  6. Step 6: Final answer
    x = 476.09

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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.