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Finding the Fourth Proportional to 418.30, 626.19 and 256.30

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Solution

The fourth proportional to 418.30, 626.19 and 256.30 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.30 : 626.19 = 256.30 : x
  2. Step 2: Convert to fraction form
    418.30/626.19 = 256.30/x
  3. Step 3: Cross multiply
    418.30x = 626.19 × 256.30
  4. Step 4: Simplify right side
    418.30x = 160,492.50
  5. Step 5: Solve for x
    x = 160,492.50/418.30
  6. Step 6: Final answer
    x = 383.68

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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.