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Finding the Fourth Proportional to 478.06, 659.82 and 303.82

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Solution

The fourth proportional to 478.06, 659.82 and 303.82 is: 419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.06 : 659.82 = 303.82 : x
  2. Step 2: Convert to fraction form
    478.06/659.82 = 303.82/x
  3. Step 3: Cross multiply
    478.06x = 659.82 × 303.82
  4. Step 4: Simplify right side
    478.06x = 200,466.51
  5. Step 5: Solve for x
    x = 200,466.51/478.06
  6. Step 6: Final answer
    x = 419.33

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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.