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Finding the Fourth Proportional to 314.70, 433.53 and 301.20

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Solution

The fourth proportional to 314.70, 433.53 and 301.20 is: 414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 433.53 = 301.20 : x
  2. Step 2: Convert to fraction form
    314.70/433.53 = 301.20/x
  3. Step 3: Cross multiply
    314.70x = 433.53 × 301.20
  4. Step 4: Simplify right side
    314.70x = 130,579.24
  5. Step 5: Solve for x
    x = 130,579.24/314.70
  6. Step 6: Final answer
    x = 414.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.