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Finding the Fourth Proportional to 510.98, 765.48 and 294.10

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Solution

The fourth proportional to 510.98, 765.48 and 294.10 is: 440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 765.48 = 294.10 : x
  2. Step 2: Convert to fraction form
    510.98/765.48 = 294.10/x
  3. Step 3: Cross multiply
    510.98x = 765.48 × 294.10
  4. Step 4: Simplify right side
    510.98x = 225,127.67
  5. Step 5: Solve for x
    x = 225,127.67/510.98
  6. Step 6: Final answer
    x = 440.58

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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.