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Finding the Fourth Proportional to 468.47, 645.81 and 291.32

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Solution

The fourth proportional to 468.47, 645.81 and 291.32 is: 401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.47 : 645.81 = 291.32 : x
  2. Step 2: Convert to fraction form
    468.47/645.81 = 291.32/x
  3. Step 3: Cross multiply
    468.47x = 645.81 × 291.32
  4. Step 4: Simplify right side
    468.47x = 188,137.37
  5. Step 5: Solve for x
    x = 188,137.37/468.47
  6. Step 6: Final answer
    x = 401.60

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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.