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Finding the Fourth Proportional to 569.39, 785.28 and 401.89

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Solution

The fourth proportional to 569.39, 785.28 and 401.89 is: 554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 785.28 = 401.89 : x
  2. Step 2: Convert to fraction form
    569.39/785.28 = 401.89/x
  3. Step 3: Cross multiply
    569.39x = 785.28 × 401.89
  4. Step 4: Simplify right side
    569.39x = 315,594.22
  5. Step 5: Solve for x
    x = 315,594.22/569.39
  6. Step 6: Final answer
    x = 554.27

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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.