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Finding the Fourth Proportional to 569.71, 786.08 and 320.93

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Solution

The fourth proportional to 569.71, 786.08 and 320.93 is: 442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.71 : 786.08 = 320.93 : x
  2. Step 2: Convert to fraction form
    569.71/786.08 = 320.93/x
  3. Step 3: Cross multiply
    569.71x = 786.08 × 320.93
  4. Step 4: Simplify right side
    569.71x = 252,273.53
  5. Step 5: Solve for x
    x = 252,273.53/569.71
  6. Step 6: Final answer
    x = 442.81

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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.