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Finding the Fourth Proportional to 319.72, 478.62 and 292.84

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Solution

The fourth proportional to 319.72, 478.62 and 292.84 is: 438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.72 : 478.62 = 292.84 : x
  2. Step 2: Convert to fraction form
    319.72/478.62 = 292.84/x
  3. Step 3: Cross multiply
    319.72x = 478.62 × 292.84
  4. Step 4: Simplify right side
    319.72x = 140,159.08
  5. Step 5: Solve for x
    x = 140,159.08/319.72
  6. Step 6: Final answer
    x = 438.38

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Why These Related Problems?

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