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Finding the Fourth Proportional to 938.64, 1,408.16 and 470.36

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Solution

The fourth proportional to 938.64, 1,408.16 and 470.36 is: 705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.64 : 1,408.16 = 470.36 : x
  2. Step 2: Convert to fraction form
    938.64/1,408.16 = 470.36/x
  3. Step 3: Cross multiply
    938.64x = 1,408.16 × 470.36
  4. Step 4: Simplify right side
    938.64x = 662,332.75
  5. Step 5: Solve for x
    x = 662,332.75/938.64
  6. Step 6: Final answer
    x = 705.63

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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.