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Finding the Fourth Proportional to 547.84, 756.16 and 341.12

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Solution

The fourth proportional to 547.84, 756.16 and 341.12 is: 470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 756.16 = 341.12 : x
  2. Step 2: Convert to fraction form
    547.84/756.16 = 341.12/x
  3. Step 3: Cross multiply
    547.84x = 756.16 × 341.12
  4. Step 4: Simplify right side
    547.84x = 257,941.30
  5. Step 5: Solve for x
    x = 257,941.30/547.84
  6. Step 6: Final answer
    x = 470.83

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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.