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Finding the Fourth Proportional to 478.88, 661.06 and 304.22

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Solution

The fourth proportional to 478.88, 661.06 and 304.22 is: 419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.88 : 661.06 = 304.22 : x
  2. Step 2: Convert to fraction form
    478.88/661.06 = 304.22/x
  3. Step 3: Cross multiply
    478.88x = 661.06 × 304.22
  4. Step 4: Simplify right side
    478.88x = 201,109.71
  5. Step 5: Solve for x
    x = 201,109.71/478.88
  6. Step 6: Final answer
    x = 419.96

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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.