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Finding the Fourth Proportional to 421.44, 631.59 and 202.05

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Solution

The fourth proportional to 421.44, 631.59 and 202.05 is: 302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.44 : 631.59 = 202.05 : x
  2. Step 2: Convert to fraction form
    421.44/631.59 = 202.05/x
  3. Step 3: Cross multiply
    421.44x = 631.59 × 202.05
  4. Step 4: Simplify right side
    421.44x = 127,612.76
  5. Step 5: Solve for x
    x = 127,612.76/421.44
  6. Step 6: Final answer
    x = 302.80

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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.