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Finding the Fourth Proportional to 510.81, 704.24 and 406.25

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Solution

The fourth proportional to 510.81, 704.24 and 406.25 is: 560.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.81 : 704.24 = 406.25 : x
  2. Step 2: Convert to fraction form
    510.81/704.24 = 406.25/x
  3. Step 3: Cross multiply
    510.81x = 704.24 × 406.25
  4. Step 4: Simplify right side
    510.81x = 286,097.50
  5. Step 5: Solve for x
    x = 286,097.50/510.81
  6. Step 6: Final answer
    x = 560.09

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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.