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Finding the Fourth Proportional to 494.21, 740.50 and 288.95

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Solution

The fourth proportional to 494.21, 740.50 and 288.95 is: 432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.21 : 740.50 = 288.95 : x
  2. Step 2: Convert to fraction form
    494.21/740.50 = 288.95/x
  3. Step 3: Cross multiply
    494.21x = 740.50 × 288.95
  4. Step 4: Simplify right side
    494.21x = 213,967.48
  5. Step 5: Solve for x
    x = 213,967.48/494.21
  6. Step 6: Final answer
    x = 432.95

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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.