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Finding the Fourth Proportional to 555.76, 832.95 and 281.92

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Solution

The fourth proportional to 555.76, 832.95 and 281.92 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.76 : 832.95 = 281.92 : x
  2. Step 2: Convert to fraction form
    555.76/832.95 = 281.92/x
  3. Step 3: Cross multiply
    555.76x = 832.95 × 281.92
  4. Step 4: Simplify right side
    555.76x = 234,825.26
  5. Step 5: Solve for x
    x = 234,825.26/555.76
  6. Step 6: Final answer
    x = 422.53

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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.