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Finding the Fourth Proportional to 510.84, 705.24 and 394.74

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Solution

The fourth proportional to 510.84, 705.24 and 394.74 is: 544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 705.24 = 394.74 : x
  2. Step 2: Convert to fraction form
    510.84/705.24 = 394.74/x
  3. Step 3: Cross multiply
    510.84x = 705.24 × 394.74
  4. Step 4: Simplify right side
    510.84x = 278,386.44
  5. Step 5: Solve for x
    x = 278,386.44/510.84
  6. Step 6: Final answer
    x = 544.96

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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.