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Finding the Fourth Proportional to 515.06, 710.75 and 293.97

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Solution

The fourth proportional to 515.06, 710.75 and 293.97 is: 405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.06 : 710.75 = 293.97 : x
  2. Step 2: Convert to fraction form
    515.06/710.75 = 293.97/x
  3. Step 3: Cross multiply
    515.06x = 710.75 × 293.97
  4. Step 4: Simplify right side
    515.06x = 208,937.71
  5. Step 5: Solve for x
    x = 208,937.71/515.06
  6. Step 6: Final answer
    x = 405.66

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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.