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Finding the Fourth Proportional to 436.16, 653.96 and 204.95

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Solution

The fourth proportional to 436.16, 653.96 and 204.95 is: 307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.16 : 653.96 = 204.95 : x
  2. Step 2: Convert to fraction form
    436.16/653.96 = 204.95/x
  3. Step 3: Cross multiply
    436.16x = 653.96 × 204.95
  4. Step 4: Simplify right side
    436.16x = 134,024.81
  5. Step 5: Solve for x
    x = 134,024.81/436.16
  6. Step 6: Final answer
    x = 307.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.