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Finding the Fourth Proportional to 419.32, 627.14 and 336.68

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Solution

The fourth proportional to 419.32, 627.14 and 336.68 is: 503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.32 : 627.14 = 336.68 : x
  2. Step 2: Convert to fraction form
    419.32/627.14 = 336.68/x
  3. Step 3: Cross multiply
    419.32x = 627.14 × 336.68
  4. Step 4: Simplify right side
    419.32x = 211,145.50
  5. Step 5: Solve for x
    x = 211,145.50/419.32
  6. Step 6: Final answer
    x = 503.54

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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.