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Finding the Fourth Proportional to 570.18, 786.96 and 337.34

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Solution

The fourth proportional to 570.18, 786.96 and 337.34 is: 465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.18 : 786.96 = 337.34 : x
  2. Step 2: Convert to fraction form
    570.18/786.96 = 337.34/x
  3. Step 3: Cross multiply
    570.18x = 786.96 × 337.34
  4. Step 4: Simplify right side
    570.18x = 265,469.15
  5. Step 5: Solve for x
    x = 265,469.15/570.18
  6. Step 6: Final answer
    x = 465.59

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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.