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Finding the Fourth Proportional to 501.53, 691.76 and 333.29

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Solution

The fourth proportional to 501.53, 691.76 and 333.29 is: 459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.53 : 691.76 = 333.29 : x
  2. Step 2: Convert to fraction form
    501.53/691.76 = 333.29/x
  3. Step 3: Cross multiply
    501.53x = 691.76 × 333.29
  4. Step 4: Simplify right side
    501.53x = 230,551.57
  5. Step 5: Solve for x
    x = 230,551.57/501.53
  6. Step 6: Final answer
    x = 459.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.