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Finding the Fourth Proportional to 510.50, 704.86 and 412.70

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Solution

The fourth proportional to 510.50, 704.86 and 412.70 is: 569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 704.86 = 412.70 : x
  2. Step 2: Convert to fraction form
    510.50/704.86 = 412.70/x
  3. Step 3: Cross multiply
    510.50x = 704.86 × 412.70
  4. Step 4: Simplify right side
    510.50x = 290,895.72
  5. Step 5: Solve for x
    x = 290,895.72/510.50
  6. Step 6: Final answer
    x = 569.83

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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.