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Finding the Fourth Proportional to 958.42, 1,437.84 and 309.16

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Solution

The fourth proportional to 958.42, 1,437.84 and 309.16 is: 463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.42 : 1,437.84 = 309.16 : x
  2. Step 2: Convert to fraction form
    958.42/1,437.84 = 309.16/x
  3. Step 3: Cross multiply
    958.42x = 1,437.84 × 309.16
  4. Step 4: Simplify right side
    958.42x = 444,522.61
  5. Step 5: Solve for x
    x = 444,522.61/958.42
  6. Step 6: Final answer
    x = 463.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.