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Finding the Fourth Proportional to 510.96, 705.33 and 386.65

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Solution

The fourth proportional to 510.96, 705.33 and 386.65 is: 533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 705.33 = 386.65 : x
  2. Step 2: Convert to fraction form
    510.96/705.33 = 386.65/x
  3. Step 3: Cross multiply
    510.96x = 705.33 × 386.65
  4. Step 4: Simplify right side
    510.96x = 272,714.08
  5. Step 5: Solve for x
    x = 272,714.08/510.96
  6. Step 6: Final answer
    x = 533.73

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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.