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Finding the Fourth Proportional to 312.64, 465.92 and 294.08

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Solution

The fourth proportional to 312.64, 465.92 and 294.08 is: 438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.64 : 465.92 = 294.08 : x
  2. Step 2: Convert to fraction form
    312.64/465.92 = 294.08/x
  3. Step 3: Cross multiply
    312.64x = 465.92 × 294.08
  4. Step 4: Simplify right side
    312.64x = 137,017.75
  5. Step 5: Solve for x
    x = 137,017.75/312.64
  6. Step 6: Final answer
    x = 438.26

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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.