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Finding the Fourth Proportional to 568.10, 852.63 and 385.22

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Solution

The fourth proportional to 568.10, 852.63 and 385.22 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.10 : 852.63 = 385.22 : x
  2. Step 2: Convert to fraction form
    568.10/852.63 = 385.22/x
  3. Step 3: Cross multiply
    568.10x = 852.63 × 385.22
  4. Step 4: Simplify right side
    568.10x = 328,450.13
  5. Step 5: Solve for x
    x = 328,450.13/568.10
  6. Step 6: Final answer
    x = 578.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.