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Finding the Fourth Proportional to 510.25, 702.60 and 436.41

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Solution

The fourth proportional to 510.25, 702.60 and 436.41 is: 600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.25 : 702.60 = 436.41 : x
  2. Step 2: Convert to fraction form
    510.25/702.60 = 436.41/x
  3. Step 3: Cross multiply
    510.25x = 702.60 × 436.41
  4. Step 4: Simplify right side
    510.25x = 306,621.67
  5. Step 5: Solve for x
    x = 306,621.67/510.25
  6. Step 6: Final answer
    x = 600.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.