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Finding the Fourth Proportional to 468.81, 646.82 and 303.08

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Solution

The fourth proportional to 468.81, 646.82 and 303.08 is: 418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.81 : 646.82 = 303.08 : x
  2. Step 2: Convert to fraction form
    468.81/646.82 = 303.08/x
  3. Step 3: Cross multiply
    468.81x = 646.82 × 303.08
  4. Step 4: Simplify right side
    468.81x = 196,038.21
  5. Step 5: Solve for x
    x = 196,038.21/468.81
  6. Step 6: Final answer
    x = 418.16

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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.