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Finding the Fourth Proportional to 566.72, 782.28 and 334.04

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Solution

The fourth proportional to 566.72, 782.28 and 334.04 is: 461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.72 : 782.28 = 334.04 : x
  2. Step 2: Convert to fraction form
    566.72/782.28 = 334.04/x
  3. Step 3: Cross multiply
    566.72x = 782.28 × 334.04
  4. Step 4: Simplify right side
    566.72x = 261,312.81
  5. Step 5: Solve for x
    x = 261,312.81/566.72
  6. Step 6: Final answer
    x = 461.10

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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.