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Finding the Fourth Proportional to 568.12, 783.90 and 335.16

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Solution

The fourth proportional to 568.12, 783.90 and 335.16 is: 462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.12 : 783.90 = 335.16 : x
  2. Step 2: Convert to fraction form
    568.12/783.90 = 335.16/x
  3. Step 3: Cross multiply
    568.12x = 783.90 × 335.16
  4. Step 4: Simplify right side
    568.12x = 262,731.92
  5. Step 5: Solve for x
    x = 262,731.92/568.12
  6. Step 6: Final answer
    x = 462.46

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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.