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Finding the Fourth Proportional to 510.71, 705.00 and 301.02

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Solution

The fourth proportional to 510.71, 705.00 and 301.02 is: 415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.71 : 705.00 = 301.02 : x
  2. Step 2: Convert to fraction form
    510.71/705.00 = 301.02/x
  3. Step 3: Cross multiply
    510.71x = 705.00 × 301.02
  4. Step 4: Simplify right side
    510.71x = 212,217.59
  5. Step 5: Solve for x
    x = 212,217.59/510.71
  6. Step 6: Final answer
    x = 415.54

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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.