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Finding the Fourth Proportional to 510.35, 702.86 and 477.41

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Solution

The fourth proportional to 510.35, 702.86 and 477.41 is: 657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.35 : 702.86 = 477.41 : x
  2. Step 2: Convert to fraction form
    510.35/702.86 = 477.41/x
  3. Step 3: Cross multiply
    510.35x = 702.86 × 477.41
  4. Step 4: Simplify right side
    510.35x = 335,546.49
  5. Step 5: Solve for x
    x = 335,546.49/510.35
  6. Step 6: Final answer
    x = 657.49

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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.