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Finding the Fourth Proportional to 353.08, 528.24 and 312.04

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Solution

The fourth proportional to 353.08, 528.24 and 312.04 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.08 : 528.24 = 312.04 : x
  2. Step 2: Convert to fraction form
    353.08/528.24 = 312.04/x
  3. Step 3: Cross multiply
    353.08x = 528.24 × 312.04
  4. Step 4: Simplify right side
    353.08x = 164,832.01
  5. Step 5: Solve for x
    x = 164,832.01/353.08
  6. Step 6: Final answer
    x = 466.84

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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.