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Finding the Fourth Proportional to 804.95, 1,207.60 and 257.16

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Solution

The fourth proportional to 804.95, 1,207.60 and 257.16 is: 385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.95 : 1,207.60 = 257.16 : x
  2. Step 2: Convert to fraction form
    804.95/1,207.60 = 257.16/x
  3. Step 3: Cross multiply
    804.95x = 1,207.60 × 257.16
  4. Step 4: Simplify right side
    804.95x = 310,546.42
  5. Step 5: Solve for x
    x = 310,546.42/804.95
  6. Step 6: Final answer
    x = 385.80

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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.