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Finding the Fourth Proportional to 547.42, 756.47 and 431.90

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Solution

The fourth proportional to 547.42, 756.47 and 431.90 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.42 : 756.47 = 431.90 : x
  2. Step 2: Convert to fraction form
    547.42/756.47 = 431.90/x
  3. Step 3: Cross multiply
    547.42x = 756.47 × 431.90
  4. Step 4: Simplify right side
    547.42x = 326,719.39
  5. Step 5: Solve for x
    x = 326,719.39/547.42
  6. Step 6: Final answer
    x = 596.83

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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.