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Finding the Fourth Proportional to 803.88, 1,205.46 and 256.10

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Solution

The fourth proportional to 803.88, 1,205.46 and 256.10 is: 384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.88 : 1,205.46 = 256.10 : x
  2. Step 2: Convert to fraction form
    803.88/1,205.46 = 256.10/x
  3. Step 3: Cross multiply
    803.88x = 1,205.46 × 256.10
  4. Step 4: Simplify right side
    803.88x = 308,718.31
  5. Step 5: Solve for x
    x = 308,718.31/803.88
  6. Step 6: Final answer
    x = 384.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.