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Finding the Fourth Proportional to 570.17, 786.83 and 321.50

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Solution

The fourth proportional to 570.17, 786.83 and 321.50 is: 443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.17 : 786.83 = 321.50 : x
  2. Step 2: Convert to fraction form
    570.17/786.83 = 321.50/x
  3. Step 3: Cross multiply
    570.17x = 786.83 × 321.50
  4. Step 4: Simplify right side
    570.17x = 252,962.71
  5. Step 5: Solve for x
    x = 252,962.71/570.17
  6. Step 6: Final answer
    x = 443.67

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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.