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Finding the Fourth Proportional to 936.40, 1,405.28 and 474.24

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Solution

The fourth proportional to 936.40, 1,405.28 and 474.24 is: 711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.40 : 1,405.28 = 474.24 : x
  2. Step 2: Convert to fraction form
    936.40/1,405.28 = 474.24/x
  3. Step 3: Cross multiply
    936.40x = 1,405.28 × 474.24
  4. Step 4: Simplify right side
    936.40x = 666,439.99
  5. Step 5: Solve for x
    x = 666,439.99/936.40
  6. Step 6: Final answer
    x = 711.70

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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.