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Finding the Fourth Proportional to 442.76, 608.98 and 355.24

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Solution

The fourth proportional to 442.76, 608.98 and 355.24 is: 488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.76 : 608.98 = 355.24 : x
  2. Step 2: Convert to fraction form
    442.76/608.98 = 355.24/x
  3. Step 3: Cross multiply
    442.76x = 608.98 × 355.24
  4. Step 4: Simplify right side
    442.76x = 216,334.06
  5. Step 5: Solve for x
    x = 216,334.06/442.76
  6. Step 6: Final answer
    x = 488.60

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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.