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Finding the Fourth Proportional to 570.10, 786.81 and 349.08

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Solution

The fourth proportional to 570.10, 786.81 and 349.08 is: 481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.10 : 786.81 = 349.08 : x
  2. Step 2: Convert to fraction form
    570.10/786.81 = 349.08/x
  3. Step 3: Cross multiply
    570.10x = 786.81 × 349.08
  4. Step 4: Simplify right side
    570.10x = 274,657.89
  5. Step 5: Solve for x
    x = 274,657.89/570.10
  6. Step 6: Final answer
    x = 481.77

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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.