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Finding the Fourth Proportional to 350.32, 483.16 and 294.16

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Solution

The fourth proportional to 350.32, 483.16 and 294.16 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.32 : 483.16 = 294.16 : x
  2. Step 2: Convert to fraction form
    350.32/483.16 = 294.16/x
  3. Step 3: Cross multiply
    350.32x = 483.16 × 294.16
  4. Step 4: Simplify right side
    350.32x = 142,126.35
  5. Step 5: Solve for x
    x = 142,126.35/350.32
  6. Step 6: Final answer
    x = 405.70

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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.