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Finding the Fourth Proportional to 557.04, 768.71 and 333.08

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Solution

The fourth proportional to 557.04, 768.71 and 333.08 is: 459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.04 : 768.71 = 333.08 : x
  2. Step 2: Convert to fraction form
    557.04/768.71 = 333.08/x
  3. Step 3: Cross multiply
    557.04x = 768.71 × 333.08
  4. Step 4: Simplify right side
    557.04x = 256,036.42
  5. Step 5: Solve for x
    x = 256,036.42/557.04
  6. Step 6: Final answer
    x = 459.64

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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.