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Finding the Fourth Proportional to 569.89, 786.45 and 345.89

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Solution

The fourth proportional to 569.89, 786.45 and 345.89 is: 477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.89 : 786.45 = 345.89 : x
  2. Step 2: Convert to fraction form
    569.89/786.45 = 345.89/x
  3. Step 3: Cross multiply
    569.89x = 786.45 × 345.89
  4. Step 4: Simplify right side
    569.89x = 272,025.19
  5. Step 5: Solve for x
    x = 272,025.19/569.89
  6. Step 6: Final answer
    x = 477.33

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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.