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Finding the Fourth Proportional to 460.42, 633.17 and 366.05

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Solution

The fourth proportional to 460.42, 633.17 and 366.05 is: 503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 633.17 = 366.05 : x
  2. Step 2: Convert to fraction form
    460.42/633.17 = 366.05/x
  3. Step 3: Cross multiply
    460.42x = 633.17 × 366.05
  4. Step 4: Simplify right side
    460.42x = 231,774.38
  5. Step 5: Solve for x
    x = 231,774.38/460.42
  6. Step 6: Final answer
    x = 503.40

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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.