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Finding the Fourth Proportional to 514.96, 710.70 and 293.96

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Solution

The fourth proportional to 514.96, 710.70 and 293.96 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 710.70 = 293.96 : x
  2. Step 2: Convert to fraction form
    514.96/710.70 = 293.96/x
  3. Step 3: Cross multiply
    514.96x = 710.70 × 293.96
  4. Step 4: Simplify right side
    514.96x = 208,917.37
  5. Step 5: Solve for x
    x = 208,917.37/514.96
  6. Step 6: Final answer
    x = 405.70

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Why These Related Problems?

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