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Finding the Fourth Proportional to 292.93, 436.22 and 292.12

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Solution

The fourth proportional to 292.93, 436.22 and 292.12 is: 435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.93 : 436.22 = 292.12 : x
  2. Step 2: Convert to fraction form
    292.93/436.22 = 292.12/x
  3. Step 3: Cross multiply
    292.93x = 436.22 × 292.12
  4. Step 4: Simplify right side
    292.93x = 127,428.59
  5. Step 5: Solve for x
    x = 127,428.59/292.93
  6. Step 6: Final answer
    x = 435.01

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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.