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Finding the Fourth Proportional to 939.16, 1,409.01 and 289.99

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Solution

The fourth proportional to 939.16, 1,409.01 and 289.99 is: 435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.16 : 1,409.01 = 289.99 : x
  2. Step 2: Convert to fraction form
    939.16/1,409.01 = 289.99/x
  3. Step 3: Cross multiply
    939.16x = 1,409.01 × 289.99
  4. Step 4: Simplify right side
    939.16x = 408,598.81
  5. Step 5: Solve for x
    x = 408,598.81/939.16
  6. Step 6: Final answer
    x = 435.07

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Why These Related Problems?

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