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Finding the Fourth Proportional to 568.90, 785.07 and 335.98

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Solution

The fourth proportional to 568.90, 785.07 and 335.98 is: 463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.90 : 785.07 = 335.98 : x
  2. Step 2: Convert to fraction form
    568.90/785.07 = 335.98/x
  3. Step 3: Cross multiply
    568.90x = 785.07 × 335.98
  4. Step 4: Simplify right side
    568.90x = 263,767.82
  5. Step 5: Solve for x
    x = 263,767.82/568.90
  6. Step 6: Final answer
    x = 463.65

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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.