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Finding the Fourth Proportional to 501.84, 752.69 and 172.83

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Solution

The fourth proportional to 501.84, 752.69 and 172.83 is: 259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 752.69 = 172.83 : x
  2. Step 2: Convert to fraction form
    501.84/752.69 = 172.83/x
  3. Step 3: Cross multiply
    501.84x = 752.69 × 172.83
  4. Step 4: Simplify right side
    501.84x = 130,086.55
  5. Step 5: Solve for x
    x = 130,086.55/501.84
  6. Step 6: Final answer
    x = 259.22

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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.