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Finding the Fourth Proportional to 468.42, 646.10 and 302.38

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Solution

The fourth proportional to 468.42, 646.10 and 302.38 is: 417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.42 : 646.10 = 302.38 : x
  2. Step 2: Convert to fraction form
    468.42/646.10 = 302.38/x
  3. Step 3: Cross multiply
    468.42x = 646.10 × 302.38
  4. Step 4: Simplify right side
    468.42x = 195,367.72
  5. Step 5: Solve for x
    x = 195,367.72/468.42
  6. Step 6: Final answer
    x = 417.08

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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.