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Finding the Fourth Proportional to 468.15, 646.09 and 302.71

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Solution

The fourth proportional to 468.15, 646.09 and 302.71 is: 417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.15 : 646.09 = 302.71 : x
  2. Step 2: Convert to fraction form
    468.15/646.09 = 302.71/x
  3. Step 3: Cross multiply
    468.15x = 646.09 × 302.71
  4. Step 4: Simplify right side
    468.15x = 195,577.90
  5. Step 5: Solve for x
    x = 195,577.90/468.15
  6. Step 6: Final answer
    x = 417.77

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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.