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Finding the Fourth Proportional to 510.37, 765.86 and 305.64

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Solution

The fourth proportional to 510.37, 765.86 and 305.64 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.37 : 765.86 = 305.64 : x
  2. Step 2: Convert to fraction form
    510.37/765.86 = 305.64/x
  3. Step 3: Cross multiply
    510.37x = 765.86 × 305.64
  4. Step 4: Simplify right side
    510.37x = 234,075.92
  5. Step 5: Solve for x
    x = 234,075.92/510.37
  6. Step 6: Final answer
    x = 458.64

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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.