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Finding the Fourth Proportional to 292.95, 438.74 and 275.87

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Solution

The fourth proportional to 292.95, 438.74 and 275.87 is: 413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.95 : 438.74 = 275.87 : x
  2. Step 2: Convert to fraction form
    292.95/438.74 = 275.87/x
  3. Step 3: Cross multiply
    292.95x = 438.74 × 275.87
  4. Step 4: Simplify right side
    292.95x = 121,031.63
  5. Step 5: Solve for x
    x = 121,031.63/292.95
  6. Step 6: Final answer
    x = 413.15

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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.