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Finding the Fourth Proportional to 510.24, 704.28 and 333.45

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Solution

The fourth proportional to 510.24, 704.28 and 333.45 is: 460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 704.28 = 333.45 : x
  2. Step 2: Convert to fraction form
    510.24/704.28 = 333.45/x
  3. Step 3: Cross multiply
    510.24x = 704.28 × 333.45
  4. Step 4: Simplify right side
    510.24x = 234,842.17
  5. Step 5: Solve for x
    x = 234,842.17/510.24
  6. Step 6: Final answer
    x = 460.26

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