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Finding the Fourth Proportional to 298.58, 411.50 and 256.95

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Solution

The fourth proportional to 298.58, 411.50 and 256.95 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.58 : 411.50 = 256.95 : x
  2. Step 2: Convert to fraction form
    298.58/411.50 = 256.95/x
  3. Step 3: Cross multiply
    298.58x = 411.50 × 256.95
  4. Step 4: Simplify right side
    298.58x = 105,733.64
  5. Step 5: Solve for x
    x = 105,733.64/298.58
  6. Step 6: Final answer
    x = 354.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.