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Finding the Fourth Proportional to 468.16, 646.12 and 293.52

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Solution

The fourth proportional to 468.16, 646.12 and 293.52 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 646.12 = 293.52 : x
  2. Step 2: Convert to fraction form
    468.16/646.12 = 293.52/x
  3. Step 3: Cross multiply
    468.16x = 646.12 × 293.52
  4. Step 4: Simplify right side
    468.16x = 189,649.14
  5. Step 5: Solve for x
    x = 189,649.14/468.16
  6. Step 6: Final answer
    x = 405.09

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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.