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Finding the Fourth Proportional to 510.96, 705.10 and 289.91

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Solution

The fourth proportional to 510.96, 705.10 and 289.91 is: 400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 705.10 = 289.91 : x
  2. Step 2: Convert to fraction form
    510.96/705.10 = 289.91/x
  3. Step 3: Cross multiply
    510.96x = 705.10 × 289.91
  4. Step 4: Simplify right side
    510.96x = 204,410.57
  5. Step 5: Solve for x
    x = 204,410.57/510.96
  6. Step 6: Final answer
    x = 400.05

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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.