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Finding the Fourth Proportional to 417.02, 575.04 and 355.06

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Solution

The fourth proportional to 417.02, 575.04 and 355.06 is: 489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.02 : 575.04 = 355.06 : x
  2. Step 2: Convert to fraction form
    417.02/575.04 = 355.06/x
  3. Step 3: Cross multiply
    417.02x = 575.04 × 355.06
  4. Step 4: Simplify right side
    417.02x = 204,173.70
  5. Step 5: Solve for x
    x = 204,173.70/417.02
  6. Step 6: Final answer
    x = 489.60

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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.