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Finding the Fourth Proportional to 510.58, 766.06 and 305.26

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Solution

The fourth proportional to 510.58, 766.06 and 305.26 is: 458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.58 : 766.06 = 305.26 : x
  2. Step 2: Convert to fraction form
    510.58/766.06 = 305.26/x
  3. Step 3: Cross multiply
    510.58x = 766.06 × 305.26
  4. Step 4: Simplify right side
    510.58x = 233,847.48
  5. Step 5: Solve for x
    x = 233,847.48/510.58
  6. Step 6: Final answer
    x = 458.00

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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.