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Finding the Fourth Proportional to 420.90, 631.63 and 204.63

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Solution

The fourth proportional to 420.90, 631.63 and 204.63 is: 307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.90 : 631.63 = 204.63 : x
  2. Step 2: Convert to fraction form
    420.90/631.63 = 204.63/x
  3. Step 3: Cross multiply
    420.90x = 631.63 × 204.63
  4. Step 4: Simplify right side
    420.90x = 129,248.33
  5. Step 5: Solve for x
    x = 129,248.33/420.90
  6. Step 6: Final answer
    x = 307.08

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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.