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Finding the Fourth Proportional to 510.42, 765.12 and 278.83

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Solution

The fourth proportional to 510.42, 765.12 and 278.83 is: 417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 765.12 = 278.83 : x
  2. Step 2: Convert to fraction form
    510.42/765.12 = 278.83/x
  3. Step 3: Cross multiply
    510.42x = 765.12 × 278.83
  4. Step 4: Simplify right side
    510.42x = 213,337.02
  5. Step 5: Solve for x
    x = 213,337.02/510.42
  6. Step 6: Final answer
    x = 417.96

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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.