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Finding the Fourth Proportional to 468.24, 646.43 and 291.35

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Solution

The fourth proportional to 468.24, 646.43 and 291.35 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 646.43 = 291.35 : x
  2. Step 2: Convert to fraction form
    468.24/646.43 = 291.35/x
  3. Step 3: Cross multiply
    468.24x = 646.43 × 291.35
  4. Step 4: Simplify right side
    468.24x = 188,337.64
  5. Step 5: Solve for x
    x = 188,337.64/468.24
  6. Step 6: Final answer
    x = 402.22

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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.