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Finding the Fourth Proportional to 569.67, 786.06 and 320.95

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Solution

The fourth proportional to 569.67, 786.06 and 320.95 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.67 : 786.06 = 320.95 : x
  2. Step 2: Convert to fraction form
    569.67/786.06 = 320.95/x
  3. Step 3: Cross multiply
    569.67x = 786.06 × 320.95
  4. Step 4: Simplify right side
    569.67x = 252,285.96
  5. Step 5: Solve for x
    x = 252,285.96/569.67
  6. Step 6: Final answer
    x = 442.87

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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.