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Finding the Fourth Proportional to 419.90, 631.08 and 283.77

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Solution

The fourth proportional to 419.90, 631.08 and 283.77 is: 426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.90 : 631.08 = 283.77 : x
  2. Step 2: Convert to fraction form
    419.90/631.08 = 283.77/x
  3. Step 3: Cross multiply
    419.90x = 631.08 × 283.77
  4. Step 4: Simplify right side
    419.90x = 179,081.57
  5. Step 5: Solve for x
    x = 179,081.57/419.90
  6. Step 6: Final answer
    x = 426.49

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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.