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Finding the Fourth Proportional to 514.41, 710.67 and 416.00

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Solution

The fourth proportional to 514.41, 710.67 and 416.00 is: 574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.41 : 710.67 = 416.00 : x
  2. Step 2: Convert to fraction form
    514.41/710.67 = 416.00/x
  3. Step 3: Cross multiply
    514.41x = 710.67 × 416.00
  4. Step 4: Simplify right side
    514.41x = 295,635.17
  5. Step 5: Solve for x
    x = 295,635.17/514.41
  6. Step 6: Final answer
    x = 574.71

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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.