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Finding the Fourth Proportional to 292.51, 436.35 and 275.95

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Solution

The fourth proportional to 292.51, 436.35 and 275.95 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.51 : 436.35 = 275.95 : x
  2. Step 2: Convert to fraction form
    292.51/436.35 = 275.95/x
  3. Step 3: Cross multiply
    292.51x = 436.35 × 275.95
  4. Step 4: Simplify right side
    292.51x = 120,410.78
  5. Step 5: Solve for x
    x = 120,410.78/292.51
  6. Step 6: Final answer
    x = 411.65

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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.