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Finding the Fourth Proportional to 405.16, 607.05 and 389.97

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Solution

The fourth proportional to 405.16, 607.05 and 389.97 is: 584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.16 : 607.05 = 389.97 : x
  2. Step 2: Convert to fraction form
    405.16/607.05 = 389.97/x
  3. Step 3: Cross multiply
    405.16x = 607.05 × 389.97
  4. Step 4: Simplify right side
    405.16x = 236,731.29
  5. Step 5: Solve for x
    x = 236,731.29/405.16
  6. Step 6: Final answer
    x = 584.29

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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.