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Finding the Fourth Proportional to 286.04, 430.14 and 240.68

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Solution

The fourth proportional to 286.04, 430.14 and 240.68 is: 361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.04 : 430.14 = 240.68 : x
  2. Step 2: Convert to fraction form
    286.04/430.14 = 240.68/x
  3. Step 3: Cross multiply
    286.04x = 430.14 × 240.68
  4. Step 4: Simplify right side
    286.04x = 103,526.10
  5. Step 5: Solve for x
    x = 103,526.10/286.04
  6. Step 6: Final answer
    x = 361.93

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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.