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Finding the Fourth Proportional to 441.95, 608.76 and 420.08

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Solution

The fourth proportional to 441.95, 608.76 and 420.08 is: 578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.95 : 608.76 = 420.08 : x
  2. Step 2: Convert to fraction form
    441.95/608.76 = 420.08/x
  3. Step 3: Cross multiply
    441.95x = 608.76 × 420.08
  4. Step 4: Simplify right side
    441.95x = 255,724.86
  5. Step 5: Solve for x
    x = 255,724.86/441.95
  6. Step 6: Final answer
    x = 578.64

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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.