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Finding the Fourth Proportional to 486.84, 729.65 and 347.81

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Solution

The fourth proportional to 486.84, 729.65 and 347.81 is: 521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.84 : 729.65 = 347.81 : x
  2. Step 2: Convert to fraction form
    486.84/729.65 = 347.81/x
  3. Step 3: Cross multiply
    486.84x = 729.65 × 347.81
  4. Step 4: Simplify right side
    486.84x = 253,775.92
  5. Step 5: Solve for x
    x = 253,775.92/486.84
  6. Step 6: Final answer
    x = 521.27

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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.