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Finding the Fourth Proportional to 514.75, 710.37 and 293.77

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Solution

The fourth proportional to 514.75, 710.37 and 293.77 is: 405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.75 : 710.37 = 293.77 : x
  2. Step 2: Convert to fraction form
    514.75/710.37 = 293.77/x
  3. Step 3: Cross multiply
    514.75x = 710.37 × 293.77
  4. Step 4: Simplify right side
    514.75x = 208,680.37
  5. Step 5: Solve for x
    x = 208,680.37/514.75
  6. Step 6: Final answer
    x = 405.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.