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Finding the Fourth Proportional to 416.59, 574.61 and 257.00

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Solution

The fourth proportional to 416.59, 574.61 and 257.00 is: 354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.59 : 574.61 = 257.00 : x
  2. Step 2: Convert to fraction form
    416.59/574.61 = 257.00/x
  3. Step 3: Cross multiply
    416.59x = 574.61 × 257.00
  4. Step 4: Simplify right side
    416.59x = 147,670.61
  5. Step 5: Solve for x
    x = 147,670.61/416.59
  6. Step 6: Final answer
    x = 354.48

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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.