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Finding the Fourth Proportional to 405.02, 606.90 and 302.96

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Solution

The fourth proportional to 405.02, 606.90 and 302.96 is: 453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.02 : 606.90 = 302.96 : x
  2. Step 2: Convert to fraction form
    405.02/606.90 = 302.96/x
  3. Step 3: Cross multiply
    405.02x = 606.90 × 302.96
  4. Step 4: Simplify right side
    405.02x = 183,866.42
  5. Step 5: Solve for x
    x = 183,866.42/405.02
  6. Step 6: Final answer
    x = 453.97

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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.