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Finding the Fourth Proportional to 556.30, 834.27 and 339.85

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Solution

The fourth proportional to 556.30, 834.27 and 339.85 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.30 : 834.27 = 339.85 : x
  2. Step 2: Convert to fraction form
    556.30/834.27 = 339.85/x
  3. Step 3: Cross multiply
    556.30x = 834.27 × 339.85
  4. Step 4: Simplify right side
    556.30x = 283,526.66
  5. Step 5: Solve for x
    x = 283,526.66/556.30
  6. Step 6: Final answer
    x = 509.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.