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Finding the Fourth Proportional to 570.23, 786.77 and 349.10

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Solution

The fourth proportional to 570.23, 786.77 and 349.10 is: 481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.23 : 786.77 = 349.10 : x
  2. Step 2: Convert to fraction form
    570.23/786.77 = 349.10/x
  3. Step 3: Cross multiply
    570.23x = 786.77 × 349.10
  4. Step 4: Simplify right side
    570.23x = 274,661.41
  5. Step 5: Solve for x
    x = 274,661.41/570.23
  6. Step 6: Final answer
    x = 481.67

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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.