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Finding the Fourth Proportional to 303.40, 455.12 and 286.99

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Solution

The fourth proportional to 303.40, 455.12 and 286.99 is: 430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.40 : 455.12 = 286.99 : x
  2. Step 2: Convert to fraction form
    303.40/455.12 = 286.99/x
  3. Step 3: Cross multiply
    303.40x = 455.12 × 286.99
  4. Step 4: Simplify right side
    303.40x = 130,617.57
  5. Step 5: Solve for x
    x = 130,617.57/303.40
  6. Step 6: Final answer
    x = 430.52

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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.