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Finding the Fourth Proportional to 286.79, 430.18 and 70.37

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Solution

The fourth proportional to 286.79, 430.18 and 70.37 is: 105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.79 : 430.18 = 70.37 : x
  2. Step 2: Convert to fraction form
    286.79/430.18 = 70.37/x
  3. Step 3: Cross multiply
    286.79x = 430.18 × 70.37
  4. Step 4: Simplify right side
    286.79x = 30,271.77
  5. Step 5: Solve for x
    x = 30,271.77/286.79
  6. Step 6: Final answer
    x = 105.55

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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.