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Finding the Fourth Proportional to 510.98, 705.02 and 301.23

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Solution

The fourth proportional to 510.98, 705.02 and 301.23 is: 415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 705.02 = 301.23 : x
  2. Step 2: Convert to fraction form
    510.98/705.02 = 301.23/x
  3. Step 3: Cross multiply
    510.98x = 705.02 × 301.23
  4. Step 4: Simplify right side
    510.98x = 212,371.67
  5. Step 5: Solve for x
    x = 212,371.67/510.98
  6. Step 6: Final answer
    x = 415.62

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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.