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Finding the Fourth Proportional to 510.04, 764.88 and 250.04

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Solution

The fourth proportional to 510.04, 764.88 and 250.04 is: 374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 764.88 = 250.04 : x
  2. Step 2: Convert to fraction form
    510.04/764.88 = 250.04/x
  3. Step 3: Cross multiply
    510.04x = 764.88 × 250.04
  4. Step 4: Simplify right side
    510.04x = 191,250.60
  5. Step 5: Solve for x
    x = 191,250.60/510.04
  6. Step 6: Final answer
    x = 374.97

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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.