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Finding the Fourth Proportional to 555.84, 833.02 and 402.28

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Solution

The fourth proportional to 555.84, 833.02 and 402.28 is: 602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.84 : 833.02 = 402.28 : x
  2. Step 2: Convert to fraction form
    555.84/833.02 = 402.28/x
  3. Step 3: Cross multiply
    555.84x = 833.02 × 402.28
  4. Step 4: Simplify right side
    555.84x = 335,107.29
  5. Step 5: Solve for x
    x = 335,107.29/555.84
  6. Step 6: Final answer
    x = 602.88

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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.