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Finding the Fourth Proportional to 319.56, 476.84 and 293.64

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Solution

The fourth proportional to 319.56, 476.84 and 293.64 is: 438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.56 : 476.84 = 293.64 : x
  2. Step 2: Convert to fraction form
    319.56/476.84 = 293.64/x
  3. Step 3: Cross multiply
    319.56x = 476.84 × 293.64
  4. Step 4: Simplify right side
    319.56x = 140,019.30
  5. Step 5: Solve for x
    x = 140,019.30/319.56
  6. Step 6: Final answer
    x = 438.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.