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Finding the Fourth Proportional to 572.28, 858.12 and 463.72

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Solution

The fourth proportional to 572.28, 858.12 and 463.72 is: 695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.28 : 858.12 = 463.72 : x
  2. Step 2: Convert to fraction form
    572.28/858.12 = 463.72/x
  3. Step 3: Cross multiply
    572.28x = 858.12 × 463.72
  4. Step 4: Simplify right side
    572.28x = 397,927.41
  5. Step 5: Solve for x
    x = 397,927.41/572.28
  6. Step 6: Final answer
    x = 695.34

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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.