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Finding the Fourth Proportional to 286.03, 430.76 and 240.67

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Solution

The fourth proportional to 286.03, 430.76 and 240.67 is: 362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.03 : 430.76 = 240.67 : x
  2. Step 2: Convert to fraction form
    286.03/430.76 = 240.67/x
  3. Step 3: Cross multiply
    286.03x = 430.76 × 240.67
  4. Step 4: Simplify right side
    286.03x = 103,671.01
  5. Step 5: Solve for x
    x = 103,671.01/286.03
  6. Step 6: Final answer
    x = 362.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.