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Finding the Fourth Proportional to 568.83, 785.02 and 316.82

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Solution

The fourth proportional to 568.83, 785.02 and 316.82 is: 437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.83 : 785.02 = 316.82 : x
  2. Step 2: Convert to fraction form
    568.83/785.02 = 316.82/x
  3. Step 3: Cross multiply
    568.83x = 785.02 × 316.82
  4. Step 4: Simplify right side
    568.83x = 248,711.21
  5. Step 5: Solve for x
    x = 248,711.21/568.83
  6. Step 6: Final answer
    x = 437.23

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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.