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Finding the Fourth Proportional to 419.32, 629.05 and 188.21

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Solution

The fourth proportional to 419.32, 629.05 and 188.21 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.32 : 629.05 = 188.21 : x
  2. Step 2: Convert to fraction form
    419.32/629.05 = 188.21/x
  3. Step 3: Cross multiply
    419.32x = 629.05 × 188.21
  4. Step 4: Simplify right side
    419.32x = 118,393.50
  5. Step 5: Solve for x
    x = 118,393.50/419.32
  6. Step 6: Final answer
    x = 282.35

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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.