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Finding the Fourth Proportional to 566.75, 782.09 and 318.08

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Solution

The fourth proportional to 566.75, 782.09 and 318.08 is: 438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.75 : 782.09 = 318.08 : x
  2. Step 2: Convert to fraction form
    566.75/782.09 = 318.08/x
  3. Step 3: Cross multiply
    566.75x = 782.09 × 318.08
  4. Step 4: Simplify right side
    566.75x = 248,763.28
  5. Step 5: Solve for x
    x = 248,763.28/566.75
  6. Step 6: Final answer
    x = 438.93

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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.