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Finding the Fourth Proportional to 514.72, 710.31 and 293.68

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Solution

The fourth proportional to 514.72, 710.31 and 293.68 is: 405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.72 : 710.31 = 293.68 : x
  2. Step 2: Convert to fraction form
    514.72/710.31 = 293.68/x
  3. Step 3: Cross multiply
    514.72x = 710.31 × 293.68
  4. Step 4: Simplify right side
    514.72x = 208,603.84
  5. Step 5: Solve for x
    x = 208,603.84/514.72
  6. Step 6: Final answer
    x = 405.28

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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.