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Finding the Fourth Proportional to 291.47, 436.55 and 205.19

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Solution

The fourth proportional to 291.47, 436.55 and 205.19 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 436.55 = 205.19 : x
  2. Step 2: Convert to fraction form
    291.47/436.55 = 205.19/x
  3. Step 3: Cross multiply
    291.47x = 436.55 × 205.19
  4. Step 4: Simplify right side
    291.47x = 89,572.49
  5. Step 5: Solve for x
    x = 89,572.49/291.47
  6. Step 6: Final answer
    x = 307.32

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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.