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Finding the Fourth Proportional to 568.83, 852.10 and 415.08

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Solution

The fourth proportional to 568.83, 852.10 and 415.08 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.83 : 852.10 = 415.08 : x
  2. Step 2: Convert to fraction form
    568.83/852.10 = 415.08/x
  3. Step 3: Cross multiply
    568.83x = 852.10 × 415.08
  4. Step 4: Simplify right side
    568.83x = 353,688.63
  5. Step 5: Solve for x
    x = 353,688.63/568.83
  6. Step 6: Final answer
    x = 621.78

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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.