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Finding the Fourth Proportional to 556.39, 834.18 and 460

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Solution

The fourth proportional to 556.39, 834.18 and 460 is: 689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.39 : 834.18 = 460 : x
  2. Step 2: Convert to fraction form
    556.39/834.18 = 460/x
  3. Step 3: Cross multiply
    556.39x = 834.18 × 460
  4. Step 4: Simplify right side
    556.39x = 383,722.80
  5. Step 5: Solve for x
    x = 383,722.80/556.39
  6. Step 6: Final answer
    x = 689.67

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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.