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Finding the Fourth Proportional to 288.36, 434.57 and 270.14

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Solution

The fourth proportional to 288.36, 434.57 and 270.14 is: 407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.36 : 434.57 = 270.14 : x
  2. Step 2: Convert to fraction form
    288.36/434.57 = 270.14/x
  3. Step 3: Cross multiply
    288.36x = 434.57 × 270.14
  4. Step 4: Simplify right side
    288.36x = 117,391.22
  5. Step 5: Solve for x
    x = 117,391.22/288.36
  6. Step 6: Final answer
    x = 407.10

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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.