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Finding the Fourth Proportional to 468.94, 646.50 and 328.82

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Solution

The fourth proportional to 468.94, 646.50 and 328.82 is: 453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.94 : 646.50 = 328.82 : x
  2. Step 2: Convert to fraction form
    468.94/646.50 = 328.82/x
  3. Step 3: Cross multiply
    468.94x = 646.50 × 328.82
  4. Step 4: Simplify right side
    468.94x = 212,582.13
  5. Step 5: Solve for x
    x = 212,582.13/468.94
  6. Step 6: Final answer
    x = 453.32

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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.