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Finding the Fourth Proportional to 645.57, 890.73 and 383.67

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Solution

The fourth proportional to 645.57, 890.73 and 383.67 is: 529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 890.73 = 383.67 : x
  2. Step 2: Convert to fraction form
    645.57/890.73 = 383.67/x
  3. Step 3: Cross multiply
    645.57x = 890.73 × 383.67
  4. Step 4: Simplify right side
    645.57x = 341,746.38
  5. Step 5: Solve for x
    x = 341,746.38/645.57
  6. Step 6: Final answer
    x = 529.37

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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.