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Finding the Fourth Proportional to 501.75, 752.33 and 208.90

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Solution

The fourth proportional to 501.75, 752.33 and 208.90 is: 313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.75 : 752.33 = 208.90 : x
  2. Step 2: Convert to fraction form
    501.75/752.33 = 208.90/x
  3. Step 3: Cross multiply
    501.75x = 752.33 × 208.90
  4. Step 4: Simplify right side
    501.75x = 157,158.81
  5. Step 5: Solve for x
    x = 157,158.81/501.75
  6. Step 6: Final answer
    x = 313.22

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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.