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Finding the Fourth Proportional to 510.71, 765.65 and 279.65

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Solution

The fourth proportional to 510.71, 765.65 and 279.65 is: 419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.71 : 765.65 = 279.65 : x
  2. Step 2: Convert to fraction form
    510.71/765.65 = 279.65/x
  3. Step 3: Cross multiply
    510.71x = 765.65 × 279.65
  4. Step 4: Simplify right side
    510.71x = 214,116.64
  5. Step 5: Solve for x
    x = 214,116.64/510.71
  6. Step 6: Final answer
    x = 419.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.