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Finding the Fourth Proportional to 566.34, 780.44 and 408.44

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Solution

The fourth proportional to 566.34, 780.44 and 408.44 is: 562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.34 : 780.44 = 408.44 : x
  2. Step 2: Convert to fraction form
    566.34/780.44 = 408.44/x
  3. Step 3: Cross multiply
    566.34x = 780.44 × 408.44
  4. Step 4: Simplify right side
    566.34x = 318,762.82
  5. Step 5: Solve for x
    x = 318,762.82/566.34
  6. Step 6: Final answer
    x = 562.85

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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.