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Finding the Fourth Proportional to 510.09, 703.89 and 289.05

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Solution

The fourth proportional to 510.09, 703.89 and 289.05 is: 398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.09 : 703.89 = 289.05 : x
  2. Step 2: Convert to fraction form
    510.09/703.89 = 289.05/x
  3. Step 3: Cross multiply
    510.09x = 703.89 × 289.05
  4. Step 4: Simplify right side
    510.09x = 203,459.40
  5. Step 5: Solve for x
    x = 203,459.40/510.09
  6. Step 6: Final answer
    x = 398.87

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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.