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Finding the Fourth Proportional to 423.18, 580.61 and 386.16

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Solution

The fourth proportional to 423.18, 580.61 and 386.16 is: 529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.18 : 580.61 = 386.16 : x
  2. Step 2: Convert to fraction form
    423.18/580.61 = 386.16/x
  3. Step 3: Cross multiply
    423.18x = 580.61 × 386.16
  4. Step 4: Simplify right side
    423.18x = 224,206.43
  5. Step 5: Solve for x
    x = 224,206.43/423.18
  6. Step 6: Final answer
    x = 529.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.