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Finding the Fourth Proportional to 570.13, 786.96 and 334.15

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Solution

The fourth proportional to 570.13, 786.96 and 334.15 is: 461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.13 : 786.96 = 334.15 : x
  2. Step 2: Convert to fraction form
    570.13/786.96 = 334.15/x
  3. Step 3: Cross multiply
    570.13x = 786.96 × 334.15
  4. Step 4: Simplify right side
    570.13x = 262,960.72
  5. Step 5: Solve for x
    x = 262,960.72/570.13
  6. Step 6: Final answer
    x = 461.23

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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.