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Finding the Fourth Proportional to 501.75, 753.39 and 477.09

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Solution

The fourth proportional to 501.75, 753.39 and 477.09 is: 716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.75 : 753.39 = 477.09 : x
  2. Step 2: Convert to fraction form
    501.75/753.39 = 477.09/x
  3. Step 3: Cross multiply
    501.75x = 753.39 × 477.09
  4. Step 4: Simplify right side
    501.75x = 359,434.84
  5. Step 5: Solve for x
    x = 359,434.84/501.75
  6. Step 6: Final answer
    x = 716.36

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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.