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Finding the Fourth Proportional to 566.71, 782.04 and 346.03

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Solution

The fourth proportional to 566.71, 782.04 and 346.03 is: 477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.71 : 782.04 = 346.03 : x
  2. Step 2: Convert to fraction form
    566.71/782.04 = 346.03/x
  3. Step 3: Cross multiply
    566.71x = 782.04 × 346.03
  4. Step 4: Simplify right side
    566.71x = 270,609.30
  5. Step 5: Solve for x
    x = 270,609.30/566.71
  6. Step 6: Final answer
    x = 477.51

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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.