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Finding the Fourth Proportional to 510.49, 705.51 and 386.11

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Solution

The fourth proportional to 510.49, 705.51 and 386.11 is: 533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.49 : 705.51 = 386.11 : x
  2. Step 2: Convert to fraction form
    510.49/705.51 = 386.11/x
  3. Step 3: Cross multiply
    510.49x = 705.51 × 386.11
  4. Step 4: Simplify right side
    510.49x = 272,404.47
  5. Step 5: Solve for x
    x = 272,404.47/510.49
  6. Step 6: Final answer
    x = 533.61

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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.