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Finding the Fourth Proportional to 467.46, 643.68 and 423.54

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Solution

The fourth proportional to 467.46, 643.68 and 423.54 is: 583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 643.68 = 423.54 : x
  2. Step 2: Convert to fraction form
    467.46/643.68 = 423.54/x
  3. Step 3: Cross multiply
    467.46x = 643.68 × 423.54
  4. Step 4: Simplify right side
    467.46x = 272,624.23
  5. Step 5: Solve for x
    x = 272,624.23/467.46
  6. Step 6: Final answer
    x = 583.20

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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.