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Finding the Fourth Proportional to 510.92, 705.23 and 301.08

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Solution

The fourth proportional to 510.92, 705.23 and 301.08 is: 415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.92 : 705.23 = 301.08 : x
  2. Step 2: Convert to fraction form
    510.92/705.23 = 301.08/x
  3. Step 3: Cross multiply
    510.92x = 705.23 × 301.08
  4. Step 4: Simplify right side
    510.92x = 212,325.62
  5. Step 5: Solve for x
    x = 212,325.62/510.92
  6. Step 6: Final answer
    x = 415.58

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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.