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Finding the Fourth Proportional to 417.48, 575.80 and 355.52

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Solution

The fourth proportional to 417.48, 575.80 and 355.52 is: 490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.48 : 575.80 = 355.52 : x
  2. Step 2: Convert to fraction form
    417.48/575.80 = 355.52/x
  3. Step 3: Cross multiply
    417.48x = 575.80 × 355.52
  4. Step 4: Simplify right side
    417.48x = 204,708.42
  5. Step 5: Solve for x
    x = 204,708.42/417.48
  6. Step 6: Final answer
    x = 490.34

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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.