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Finding the Fourth Proportional to 510.05, 702.74 and 368.15

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Solution

The fourth proportional to 510.05, 702.74 and 368.15 is: 507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.05 : 702.74 = 368.15 : x
  2. Step 2: Convert to fraction form
    510.05/702.74 = 368.15/x
  3. Step 3: Cross multiply
    510.05x = 702.74 × 368.15
  4. Step 4: Simplify right side
    510.05x = 258,708.38
  5. Step 5: Solve for x
    x = 258,708.38/510.05
  6. Step 6: Final answer
    x = 507.23

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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.