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Finding the Fourth Proportional to 510.47, 702.91 and 498.97

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Solution

The fourth proportional to 510.47, 702.91 and 498.97 is: 687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.47 : 702.91 = 498.97 : x
  2. Step 2: Convert to fraction form
    510.47/702.91 = 498.97/x
  3. Step 3: Cross multiply
    510.47x = 702.91 × 498.97
  4. Step 4: Simplify right side
    510.47x = 350,732.51
  5. Step 5: Solve for x
    x = 350,732.51/510.47
  6. Step 6: Final answer
    x = 687.08

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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.