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Finding the Fourth Proportional to 510.08, 765.41 and 305.15

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Solution

The fourth proportional to 510.08, 765.41 and 305.15 is: 457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.08 : 765.41 = 305.15 : x
  2. Step 2: Convert to fraction form
    510.08/765.41 = 305.15/x
  3. Step 3: Cross multiply
    510.08x = 765.41 × 305.15
  4. Step 4: Simplify right side
    510.08x = 233,559.51
  5. Step 5: Solve for x
    x = 233,559.51/510.08
  6. Step 6: Final answer
    x = 457.89

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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.