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Finding the Fourth Proportional to 490.65, 677.07 and 313.67

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Solution

The fourth proportional to 490.65, 677.07 and 313.67 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.65 : 677.07 = 313.67 : x
  2. Step 2: Convert to fraction form
    490.65/677.07 = 313.67/x
  3. Step 3: Cross multiply
    490.65x = 677.07 × 313.67
  4. Step 4: Simplify right side
    490.65x = 212,373.16
  5. Step 5: Solve for x
    x = 212,373.16/490.65
  6. Step 6: Final answer
    x = 432.84

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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.