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Finding the Fourth Proportional to 448.59, 619.17 and 301.35

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Solution

The fourth proportional to 448.59, 619.17 and 301.35 is: 415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.59 : 619.17 = 301.35 : x
  2. Step 2: Convert to fraction form
    448.59/619.17 = 301.35/x
  3. Step 3: Cross multiply
    448.59x = 619.17 × 301.35
  4. Step 4: Simplify right side
    448.59x = 186,586.88
  5. Step 5: Solve for x
    x = 186,586.88/448.59
  6. Step 6: Final answer
    x = 415.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.