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Finding the Fourth Proportional to 938.16, 1,407.38 and 288.81

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Solution

The fourth proportional to 938.16, 1,407.38 and 288.81 is: 433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.16 : 1,407.38 = 288.81 : x
  2. Step 2: Convert to fraction form
    938.16/1,407.38 = 288.81/x
  3. Step 3: Cross multiply
    938.16x = 1,407.38 × 288.81
  4. Step 4: Simplify right side
    938.16x = 406,463.97
  5. Step 5: Solve for x
    x = 406,463.97/938.16
  6. Step 6: Final answer
    x = 433.26

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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.