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Finding the Fourth Proportional to 416.82, 575.25 and 358.00

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Solution

The fourth proportional to 416.82, 575.25 and 358.00 is: 494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.82 : 575.25 = 358.00 : x
  2. Step 2: Convert to fraction form
    416.82/575.25 = 358.00/x
  3. Step 3: Cross multiply
    416.82x = 575.25 × 358.00
  4. Step 4: Simplify right side
    416.82x = 205,941.97
  5. Step 5: Solve for x
    x = 205,941.97/416.82
  6. Step 6: Final answer
    x = 494.08

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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.