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Finding the Fourth Proportional to 586.37, 809.16 and 320.79

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Solution

The fourth proportional to 586.37, 809.16 and 320.79 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.37 : 809.16 = 320.79 : x
  2. Step 2: Convert to fraction form
    586.37/809.16 = 320.79/x
  3. Step 3: Cross multiply
    586.37x = 809.16 × 320.79
  4. Step 4: Simplify right side
    586.37x = 259,572.27
  5. Step 5: Solve for x
    x = 259,572.27/586.37
  6. Step 6: Final answer
    x = 442.67

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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.