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Finding the Fourth Proportional to 566.96, 782.53 and 334.16

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Solution

The fourth proportional to 566.96, 782.53 and 334.16 is: 461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.96 : 782.53 = 334.16 : x
  2. Step 2: Convert to fraction form
    566.96/782.53 = 334.16/x
  3. Step 3: Cross multiply
    566.96x = 782.53 × 334.16
  4. Step 4: Simplify right side
    566.96x = 261,490.22
  5. Step 5: Solve for x
    x = 261,490.22/566.96
  6. Step 6: Final answer
    x = 461.21

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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.