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Finding the Fourth Proportional to 352.10, 528.16 and 312.02

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Solution

The fourth proportional to 352.10, 528.16 and 312.02 is: 468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.10 : 528.16 = 312.02 : x
  2. Step 2: Convert to fraction form
    352.10/528.16 = 312.02/x
  3. Step 3: Cross multiply
    352.10x = 528.16 × 312.02
  4. Step 4: Simplify right side
    352.10x = 164,796.48
  5. Step 5: Solve for x
    x = 164,796.48/352.10
  6. Step 6: Final answer
    x = 468.04

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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.