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Finding the Fourth Proportional to 352.64, 528.72 and 312.14

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Solution

The fourth proportional to 352.64, 528.72 and 312.14 is: 468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.64 : 528.72 = 312.14 : x
  2. Step 2: Convert to fraction form
    352.64/528.72 = 312.14/x
  3. Step 3: Cross multiply
    352.64x = 528.72 × 312.14
  4. Step 4: Simplify right side
    352.64x = 165,034.66
  5. Step 5: Solve for x
    x = 165,034.66/352.64
  6. Step 6: Final answer
    x = 468.00

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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.