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Finding the Fourth Proportional to 357.52, 535.92 and 314.32

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Solution

The fourth proportional to 357.52, 535.92 and 314.32 is: 471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.52 : 535.92 = 314.32 : x
  2. Step 2: Convert to fraction form
    357.52/535.92 = 314.32/x
  3. Step 3: Cross multiply
    357.52x = 535.92 × 314.32
  4. Step 4: Simplify right side
    357.52x = 168,450.37
  5. Step 5: Solve for x
    x = 168,450.37/357.52
  6. Step 6: Final answer
    x = 471.16

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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.