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Finding the Fourth Proportional to 292.32, 436.32 and 269.64

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Solution

The fourth proportional to 292.32, 436.32 and 269.64 is: 402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.32 : 436.32 = 269.64 : x
  2. Step 2: Convert to fraction form
    292.32/436.32 = 269.64/x
  3. Step 3: Cross multiply
    292.32x = 436.32 × 269.64
  4. Step 4: Simplify right side
    292.32x = 117,649.32
  5. Step 5: Solve for x
    x = 117,649.32/292.32
  6. Step 6: Final answer
    x = 402.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.