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Finding the Fourth Proportional to 510.04, 702.84 and 362.26

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Solution

The fourth proportional to 510.04, 702.84 and 362.26 is: 499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 702.84 = 362.26 : x
  2. Step 2: Convert to fraction form
    510.04/702.84 = 362.26/x
  3. Step 3: Cross multiply
    510.04x = 702.84 × 362.26
  4. Step 4: Simplify right side
    510.04x = 254,609.97
  5. Step 5: Solve for x
    x = 254,609.97/510.04
  6. Step 6: Final answer
    x = 499.20

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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.