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Finding the Fourth Proportional to 513.98, 707.50 and 448.37

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Solution

The fourth proportional to 513.98, 707.50 and 448.37 is: 617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 707.50 = 448.37 : x
  2. Step 2: Convert to fraction form
    513.98/707.50 = 448.37/x
  3. Step 3: Cross multiply
    513.98x = 707.50 × 448.37
  4. Step 4: Simplify right side
    513.98x = 317,218.24
  5. Step 5: Solve for x
    x = 317,218.24/513.98
  6. Step 6: Final answer
    x = 617.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.