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Finding the Fourth Proportional to 373.75, 559.77 and 305.17

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Solution

The fourth proportional to 373.75, 559.77 and 305.17 is: 457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.75 : 559.77 = 305.17 : x
  2. Step 2: Convert to fraction form
    373.75/559.77 = 305.17/x
  3. Step 3: Cross multiply
    373.75x = 559.77 × 305.17
  4. Step 4: Simplify right side
    373.75x = 170,825.01
  5. Step 5: Solve for x
    x = 170,825.01/373.75
  6. Step 6: Final answer
    x = 457.06

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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.