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Finding the Fourth Proportional to 307.36, 460.88 and 288.24

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Solution

The fourth proportional to 307.36, 460.88 and 288.24 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.36 : 460.88 = 288.24 : x
  2. Step 2: Convert to fraction form
    307.36/460.88 = 288.24/x
  3. Step 3: Cross multiply
    307.36x = 460.88 × 288.24
  4. Step 4: Simplify right side
    307.36x = 132,844.05
  5. Step 5: Solve for x
    x = 132,844.05/307.36
  6. Step 6: Final answer
    x = 432.21

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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.