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Finding the Fourth Proportional to 569.04, 785.34 and 394.08

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Solution

The fourth proportional to 569.04, 785.34 and 394.08 is: 543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.04 : 785.34 = 394.08 : x
  2. Step 2: Convert to fraction form
    569.04/785.34 = 394.08/x
  3. Step 3: Cross multiply
    569.04x = 785.34 × 394.08
  4. Step 4: Simplify right side
    569.04x = 309,486.79
  5. Step 5: Solve for x
    x = 309,486.79/569.04
  6. Step 6: Final answer
    x = 543.88

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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.