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Finding the Fourth Proportional to 515.25, 710.73 and 390.78

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Solution

The fourth proportional to 515.25, 710.73 and 390.78 is: 539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.25 : 710.73 = 390.78 : x
  2. Step 2: Convert to fraction form
    515.25/710.73 = 390.78/x
  3. Step 3: Cross multiply
    515.25x = 710.73 × 390.78
  4. Step 4: Simplify right side
    515.25x = 277,739.07
  5. Step 5: Solve for x
    x = 277,739.07/515.25
  6. Step 6: Final answer
    x = 539.04

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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.