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Finding the Fourth Proportional to 314.01, 435.38 and 303.89

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Solution

The fourth proportional to 314.01, 435.38 and 303.89 is: 421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.01 : 435.38 = 303.89 : x
  2. Step 2: Convert to fraction form
    314.01/435.38 = 303.89/x
  3. Step 3: Cross multiply
    314.01x = 435.38 × 303.89
  4. Step 4: Simplify right side
    314.01x = 132,303.93
  5. Step 5: Solve for x
    x = 132,303.93/314.01
  6. Step 6: Final answer
    x = 421.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.