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Finding the Fourth Proportional to 292.64, 436.65 and 261.99

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Solution

The fourth proportional to 292.64, 436.65 and 261.99 is: 390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 436.65 = 261.99 : x
  2. Step 2: Convert to fraction form
    292.64/436.65 = 261.99/x
  3. Step 3: Cross multiply
    292.64x = 436.65 × 261.99
  4. Step 4: Simplify right side
    292.64x = 114,397.93
  5. Step 5: Solve for x
    x = 114,397.93/292.64
  6. Step 6: Final answer
    x = 390.92

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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.