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Finding the Fourth Proportional to 288.34, 429.44 and 280.64

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Solution

The fourth proportional to 288.34, 429.44 and 280.64 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.34 : 429.44 = 280.64 : x
  2. Step 2: Convert to fraction form
    288.34/429.44 = 280.64/x
  3. Step 3: Cross multiply
    288.34x = 429.44 × 280.64
  4. Step 4: Simplify right side
    288.34x = 120,518.04
  5. Step 5: Solve for x
    x = 120,518.04/288.34
  6. Step 6: Final answer
    x = 417.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.