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Finding the Fourth Proportional to 804.64, 1,207.12 and 256.86

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Solution

The fourth proportional to 804.64, 1,207.12 and 256.86 is: 385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.64 : 1,207.12 = 256.86 : x
  2. Step 2: Convert to fraction form
    804.64/1,207.12 = 256.86/x
  3. Step 3: Cross multiply
    804.64x = 1,207.12 × 256.86
  4. Step 4: Simplify right side
    804.64x = 310,054.81
  5. Step 5: Solve for x
    x = 310,054.81/804.64
  6. Step 6: Final answer
    x = 385.34

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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.