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Finding the Fourth Proportional to 504.99, 757.49 and 436.31

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Solution

The fourth proportional to 504.99, 757.49 and 436.31 is: 654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.99 : 757.49 = 436.31 : x
  2. Step 2: Convert to fraction form
    504.99/757.49 = 436.31/x
  3. Step 3: Cross multiply
    504.99x = 757.49 × 436.31
  4. Step 4: Simplify right side
    504.99x = 330,494.49
  5. Step 5: Solve for x
    x = 330,494.49/504.99
  6. Step 6: Final answer
    x = 654.46

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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.