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Finding the Fourth Proportional to 501.76, 752.60 and 193.24

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Solution

The fourth proportional to 501.76, 752.60 and 193.24 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.76 : 752.60 = 193.24 : x
  2. Step 2: Convert to fraction form
    501.76/752.60 = 193.24/x
  3. Step 3: Cross multiply
    501.76x = 752.60 × 193.24
  4. Step 4: Simplify right side
    501.76x = 145,432.42
  5. Step 5: Solve for x
    x = 145,432.42/501.76
  6. Step 6: Final answer
    x = 289.84

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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.