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Finding the Fourth Proportional to 288.96, 429.72 and 279.84

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Solution

The fourth proportional to 288.96, 429.72 and 279.84 is: 416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.96 : 429.72 = 279.84 : x
  2. Step 2: Convert to fraction form
    288.96/429.72 = 279.84/x
  3. Step 3: Cross multiply
    288.96x = 429.72 × 279.84
  4. Step 4: Simplify right side
    288.96x = 120,252.84
  5. Step 5: Solve for x
    x = 120,252.84/288.96
  6. Step 6: Final answer
    x = 416.16

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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.