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Finding the Fourth Proportional to 419.35, 627.85 and 316.32

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Solution

The fourth proportional to 419.35, 627.85 and 316.32 is: 473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.35 : 627.85 = 316.32 : x
  2. Step 2: Convert to fraction form
    419.35/627.85 = 316.32/x
  3. Step 3: Cross multiply
    419.35x = 627.85 × 316.32
  4. Step 4: Simplify right side
    419.35x = 198,601.51
  5. Step 5: Solve for x
    x = 198,601.51/419.35
  6. Step 6: Final answer
    x = 473.59

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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.