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Finding the Fourth Proportional to 288.60, 414.72 and 288.60

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Solution

The fourth proportional to 288.60, 414.72 and 288.60 is: 414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 414.72 = 288.60 : x
  2. Step 2: Convert to fraction form
    288.60/414.72 = 288.60/x
  3. Step 3: Cross multiply
    288.60x = 414.72 × 288.60
  4. Step 4: Simplify right side
    288.60x = 119,688.19
  5. Step 5: Solve for x
    x = 119,688.19/288.60
  6. Step 6: Final answer
    x = 414.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.