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Finding the Fourth Proportional to 568.93, 784.68 and 382.36

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Solution

The fourth proportional to 568.93, 784.68 and 382.36 is: 527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.93 : 784.68 = 382.36 : x
  2. Step 2: Convert to fraction form
    568.93/784.68 = 382.36/x
  3. Step 3: Cross multiply
    568.93x = 784.68 × 382.36
  4. Step 4: Simplify right side
    568.93x = 300,030.24
  5. Step 5: Solve for x
    x = 300,030.24/568.93
  6. Step 6: Final answer
    x = 527.36

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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.