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Finding the Fourth Proportional to 569.86, 786.85 and 445.30

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Solution

The fourth proportional to 569.86, 786.85 and 445.30 is: 614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.86 : 786.85 = 445.30 : x
  2. Step 2: Convert to fraction form
    569.86/786.85 = 445.30/x
  3. Step 3: Cross multiply
    569.86x = 786.85 × 445.30
  4. Step 4: Simplify right side
    569.86x = 350,381.22
  5. Step 5: Solve for x
    x = 350,381.22/569.86
  6. Step 6: Final answer
    x = 614.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.