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Finding the Fourth Proportional to 440.08, 607.16 and 256.08

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Solution

The fourth proportional to 440.08, 607.16 and 256.08 is: 353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.08 : 607.16 = 256.08 : x
  2. Step 2: Convert to fraction form
    440.08/607.16 = 256.08/x
  3. Step 3: Cross multiply
    440.08x = 607.16 × 256.08
  4. Step 4: Simplify right side
    440.08x = 155,481.53
  5. Step 5: Solve for x
    x = 155,481.53/440.08
  6. Step 6: Final answer
    x = 353.30

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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.