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Finding the Fourth Proportional to 501.84, 752.56 and 193.49

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Solution

The fourth proportional to 501.84, 752.56 and 193.49 is: 290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 752.56 = 193.49 : x
  2. Step 2: Convert to fraction form
    501.84/752.56 = 193.49/x
  3. Step 3: Cross multiply
    501.84x = 752.56 × 193.49
  4. Step 4: Simplify right side
    501.84x = 145,614.58
  5. Step 5: Solve for x
    x = 145,614.58/501.84
  6. Step 6: Final answer
    x = 290.16

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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.