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Finding the Fourth Proportional to 319.98, 480.30 and 283.65

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Solution

The fourth proportional to 319.98, 480.30 and 283.65 is: 425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.98 : 480.30 = 283.65 : x
  2. Step 2: Convert to fraction form
    319.98/480.30 = 283.65/x
  3. Step 3: Cross multiply
    319.98x = 480.30 × 283.65
  4. Step 4: Simplify right side
    319.98x = 136,238.16
  5. Step 5: Solve for x
    x = 136,238.16/319.98
  6. Step 6: Final answer
    x = 425.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.