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Finding the Fourth Proportional to 569, 785.18 and 347.86

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Solution

The fourth proportional to 569, 785.18 and 347.86 is: 480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 785.18 = 347.86 : x
  2. Step 2: Convert to fraction form
    569/785.18 = 347.86/x
  3. Step 3: Cross multiply
    569x = 785.18 × 347.86
  4. Step 4: Simplify right side
    569x = 273,132.71
  5. Step 5: Solve for x
    x = 273,132.71/569
  6. Step 6: Final answer
    x = 480.02

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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.