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Finding the Fourth Proportional to 314, 434.13 and 300.40

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Solution

The fourth proportional to 314, 434.13 and 300.40 is: 415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 434.13 = 300.40 : x
  2. Step 2: Convert to fraction form
    314/434.13 = 300.40/x
  3. Step 3: Cross multiply
    314x = 434.13 × 300.40
  4. Step 4: Simplify right side
    314x = 130,412.65
  5. Step 5: Solve for x
    x = 130,412.65/314
  6. Step 6: Final answer
    x = 415.33

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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.