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Finding the Fourth Proportional to 314.38, 430.11 and 313.01

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Solution

The fourth proportional to 314.38, 430.11 and 313.01 is: 428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 430.11 = 313.01 : x
  2. Step 2: Convert to fraction form
    314.38/430.11 = 313.01/x
  3. Step 3: Cross multiply
    314.38x = 430.11 × 313.01
  4. Step 4: Simplify right side
    314.38x = 134,630.61
  5. Step 5: Solve for x
    x = 134,630.61/314.38
  6. Step 6: Final answer
    x = 428.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.