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Finding the Fourth Proportional to 418.48, 626.80 and 256.32

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Solution

The fourth proportional to 418.48, 626.80 and 256.32 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.48 : 626.80 = 256.32 : x
  2. Step 2: Convert to fraction form
    418.48/626.80 = 256.32/x
  3. Step 3: Cross multiply
    418.48x = 626.80 × 256.32
  4. Step 4: Simplify right side
    418.48x = 160,661.38
  5. Step 5: Solve for x
    x = 160,661.38/418.48
  6. Step 6: Final answer
    x = 383.92

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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.