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Finding the Fourth Proportional to 467.54, 646.02 and 349.99

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Solution

The fourth proportional to 467.54, 646.02 and 349.99 is: 483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.54 : 646.02 = 349.99 : x
  2. Step 2: Convert to fraction form
    467.54/646.02 = 349.99/x
  3. Step 3: Cross multiply
    467.54x = 646.02 × 349.99
  4. Step 4: Simplify right side
    467.54x = 226,100.54
  5. Step 5: Solve for x
    x = 226,100.54/467.54
  6. Step 6: Final answer
    x = 483.60

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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.