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Finding the Fourth Proportional to 442.04, 608.61 and 375.50

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Solution

The fourth proportional to 442.04, 608.61 and 375.50 is: 517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 608.61 = 375.50 : x
  2. Step 2: Convert to fraction form
    442.04/608.61 = 375.50/x
  3. Step 3: Cross multiply
    442.04x = 608.61 × 375.50
  4. Step 4: Simplify right side
    442.04x = 228,530.01
  5. Step 5: Solve for x
    x = 228,530.01/442.04
  6. Step 6: Final answer
    x = 517.00

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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.