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Finding the Fourth Proportional to 501.99, 753.14 and 172.94

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Solution

The fourth proportional to 501.99, 753.14 and 172.94 is: 259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.99 : 753.14 = 172.94 : x
  2. Step 2: Convert to fraction form
    501.99/753.14 = 172.94/x
  3. Step 3: Cross multiply
    501.99x = 753.14 × 172.94
  4. Step 4: Simplify right side
    501.99x = 130,244.05
  5. Step 5: Solve for x
    x = 130,244.05/501.99
  6. Step 6: Final answer
    x = 259.46

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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.