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Finding the Fourth Proportional to 572.28, 857.81 and 298.10

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Solution

The fourth proportional to 572.28, 857.81 and 298.10 is: 446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.28 : 857.81 = 298.10 : x
  2. Step 2: Convert to fraction form
    572.28/857.81 = 298.10/x
  3. Step 3: Cross multiply
    572.28x = 857.81 × 298.10
  4. Step 4: Simplify right side
    572.28x = 255,707.38
  5. Step 5: Solve for x
    x = 255,707.38/572.28
  6. Step 6: Final answer
    x = 446.82

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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.