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Finding the Fourth Proportional to 340.50, 469.26 and 314.36

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Solution

The fourth proportional to 340.50, 469.26 and 314.36 is: 433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 469.26 = 314.36 : x
  2. Step 2: Convert to fraction form
    340.50/469.26 = 314.36/x
  3. Step 3: Cross multiply
    340.50x = 469.26 × 314.36
  4. Step 4: Simplify right side
    340.50x = 147,516.57
  5. Step 5: Solve for x
    x = 147,516.57/340.50
  6. Step 6: Final answer
    x = 433.24

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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.