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Finding the Fourth Proportional to 568.93, 785.02 and 320.24

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Solution

The fourth proportional to 568.93, 785.02 and 320.24 is: 441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.93 : 785.02 = 320.24 : x
  2. Step 2: Convert to fraction form
    568.93/785.02 = 320.24/x
  3. Step 3: Cross multiply
    568.93x = 785.02 × 320.24
  4. Step 4: Simplify right side
    568.93x = 251,394.80
  5. Step 5: Solve for x
    x = 251,394.80/568.93
  6. Step 6: Final answer
    x = 441.87

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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.