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Finding the Fourth Proportional to 515.93, 711.77 and 416.61

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Solution

The fourth proportional to 515.93, 711.77 and 416.61 is: 574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.93 : 711.77 = 416.61 : x
  2. Step 2: Convert to fraction form
    515.93/711.77 = 416.61/x
  3. Step 3: Cross multiply
    515.93x = 711.77 × 416.61
  4. Step 4: Simplify right side
    515.93x = 296,528.42
  5. Step 5: Solve for x
    x = 296,528.42/515.93
  6. Step 6: Final answer
    x = 574.75

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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.