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Finding the Fourth Proportional to 504.17, 754.67 and 347.08

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Solution

The fourth proportional to 504.17, 754.67 and 347.08 is: 519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.17 : 754.67 = 347.08 : x
  2. Step 2: Convert to fraction form
    504.17/754.67 = 347.08/x
  3. Step 3: Cross multiply
    504.17x = 754.67 × 347.08
  4. Step 4: Simplify right side
    504.17x = 261,929.84
  5. Step 5: Solve for x
    x = 261,929.84/504.17
  6. Step 6: Final answer
    x = 519.52

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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.