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Finding the Fourth Proportional to 570.16, 786.41 and 349.23

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Solution

The fourth proportional to 570.16, 786.41 and 349.23 is: 481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 786.41 = 349.23 : x
  2. Step 2: Convert to fraction form
    570.16/786.41 = 349.23/x
  3. Step 3: Cross multiply
    570.16x = 786.41 × 349.23
  4. Step 4: Simplify right side
    570.16x = 274,636.22
  5. Step 5: Solve for x
    x = 274,636.22/570.16
  6. Step 6: Final answer
    x = 481.68

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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.