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Finding the Fourth Proportional to 566.92, 782.30 and 334

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Solution

The fourth proportional to 566.92, 782.30 and 334 is: 460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.92 : 782.30 = 334 : x
  2. Step 2: Convert to fraction form
    566.92/782.30 = 334/x
  3. Step 3: Cross multiply
    566.92x = 782.30 × 334
  4. Step 4: Simplify right side
    566.92x = 261,288.20
  5. Step 5: Solve for x
    x = 261,288.20/566.92
  6. Step 6: Final answer
    x = 460.89

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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.