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Finding the Fourth Proportional to 510.84, 765.09 and 470.88

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Solution

The fourth proportional to 510.84, 765.09 and 470.88 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 765.09 = 470.88 : x
  2. Step 2: Convert to fraction form
    510.84/765.09 = 470.88/x
  3. Step 3: Cross multiply
    510.84x = 765.09 × 470.88
  4. Step 4: Simplify right side
    510.84x = 360,265.58
  5. Step 5: Solve for x
    x = 360,265.58/510.84
  6. Step 6: Final answer
    x = 705.24

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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.