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Finding the Fourth Proportional to 405.12, 608.16 and 289.92

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Solution

The fourth proportional to 405.12, 608.16 and 289.92 is: 435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.12 : 608.16 = 289.92 : x
  2. Step 2: Convert to fraction form
    405.12/608.16 = 289.92/x
  3. Step 3: Cross multiply
    405.12x = 608.16 × 289.92
  4. Step 4: Simplify right side
    405.12x = 176,317.75
  5. Step 5: Solve for x
    x = 176,317.75/405.12
  6. Step 6: Final answer
    x = 435.22

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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.