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Finding the Fourth Proportional to 566.63, 780.80 and 408.99

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Solution

The fourth proportional to 566.63, 780.80 and 408.99 is: 563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.63 : 780.80 = 408.99 : x
  2. Step 2: Convert to fraction form
    566.63/780.80 = 408.99/x
  3. Step 3: Cross multiply
    566.63x = 780.80 × 408.99
  4. Step 4: Simplify right side
    566.63x = 319,339.39
  5. Step 5: Solve for x
    x = 319,339.39/566.63
  6. Step 6: Final answer
    x = 563.58

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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.