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Finding the Fourth Proportional to 501.44, 753.84 and 410.81

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Solution

The fourth proportional to 501.44, 753.84 and 410.81 is: 617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 753.84 = 410.81 : x
  2. Step 2: Convert to fraction form
    501.44/753.84 = 410.81/x
  3. Step 3: Cross multiply
    501.44x = 753.84 × 410.81
  4. Step 4: Simplify right side
    501.44x = 309,685.01
  5. Step 5: Solve for x
    x = 309,685.01/501.44
  6. Step 6: Final answer
    x = 617.59

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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.