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Finding the Fourth Proportional to 448.06, 618.78 and 301

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Solution

The fourth proportional to 448.06, 618.78 and 301 is: 415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.06 : 618.78 = 301 : x
  2. Step 2: Convert to fraction form
    448.06/618.78 = 301/x
  3. Step 3: Cross multiply
    448.06x = 618.78 × 301
  4. Step 4: Simplify right side
    448.06x = 186,252.78
  5. Step 5: Solve for x
    x = 186,252.78/448.06
  6. Step 6: Final answer
    x = 415.69

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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.