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Finding the Fourth Proportional to 568.74, 785.33 and 359.26

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Solution

The fourth proportional to 568.74, 785.33 and 359.26 is: 496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.74 : 785.33 = 359.26 : x
  2. Step 2: Convert to fraction form
    568.74/785.33 = 359.26/x
  3. Step 3: Cross multiply
    568.74x = 785.33 × 359.26
  4. Step 4: Simplify right side
    568.74x = 282,135.86
  5. Step 5: Solve for x
    x = 282,135.86/568.74
  6. Step 6: Final answer
    x = 496.08

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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.