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Finding the Fourth Proportional to 501.85, 752.36 and 209.57

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Solution

The fourth proportional to 501.85, 752.36 and 209.57 is: 314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.85 : 752.36 = 209.57 : x
  2. Step 2: Convert to fraction form
    501.85/752.36 = 209.57/x
  3. Step 3: Cross multiply
    501.85x = 752.36 × 209.57
  4. Step 4: Simplify right side
    501.85x = 157,667.28
  5. Step 5: Solve for x
    x = 157,667.28/501.85
  6. Step 6: Final answer
    x = 314.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.