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Finding the Fourth Proportional to 663.76, 995.36 and 288.53

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Solution

The fourth proportional to 663.76, 995.36 and 288.53 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 995.36 = 288.53 : x
  2. Step 2: Convert to fraction form
    663.76/995.36 = 288.53/x
  3. Step 3: Cross multiply
    663.76x = 995.36 × 288.53
  4. Step 4: Simplify right side
    663.76x = 287,192.99
  5. Step 5: Solve for x
    x = 287,192.99/663.76
  6. Step 6: Final answer
    x = 432.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.