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Finding the Fourth Proportional to 568.70, 785.13 and 382.40

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Solution

The fourth proportional to 568.70, 785.13 and 382.40 is: 527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.70 : 785.13 = 382.40 : x
  2. Step 2: Convert to fraction form
    568.70/785.13 = 382.40/x
  3. Step 3: Cross multiply
    568.70x = 785.13 × 382.40
  4. Step 4: Simplify right side
    568.70x = 300,233.71
  5. Step 5: Solve for x
    x = 300,233.71/568.70
  6. Step 6: Final answer
    x = 527.93

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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.