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Finding the Fourth Proportional to 372.04, 557.34 and 286.36

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Solution

The fourth proportional to 372.04, 557.34 and 286.36 is: 428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.04 : 557.34 = 286.36 : x
  2. Step 2: Convert to fraction form
    372.04/557.34 = 286.36/x
  3. Step 3: Cross multiply
    372.04x = 557.34 × 286.36
  4. Step 4: Simplify right side
    372.04x = 159,599.88
  5. Step 5: Solve for x
    x = 159,599.88/372.04
  6. Step 6: Final answer
    x = 428.99

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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.