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Finding the Fourth Proportional to 423.28, 584 and 306.64

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Solution

The fourth proportional to 423.28, 584 and 306.64 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.28 : 584 = 306.64 : x
  2. Step 2: Convert to fraction form
    423.28/584 = 306.64/x
  3. Step 3: Cross multiply
    423.28x = 584 × 306.64
  4. Step 4: Simplify right side
    423.28x = 179,077.76
  5. Step 5: Solve for x
    x = 179,077.76/423.28
  6. Step 6: Final answer
    x = 423.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.