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Finding the Fourth Proportional to 567.16, 782.70 and 334.20

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Solution

The fourth proportional to 567.16, 782.70 and 334.20 is: 461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.16 : 782.70 = 334.20 : x
  2. Step 2: Convert to fraction form
    567.16/782.70 = 334.20/x
  3. Step 3: Cross multiply
    567.16x = 782.70 × 334.20
  4. Step 4: Simplify right side
    567.16x = 261,578.34
  5. Step 5: Solve for x
    x = 261,578.34/567.16
  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.