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Finding the Fourth Proportional to 375.72, 564.12 and 358.44

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Solution

The fourth proportional to 375.72, 564.12 and 358.44 is: 538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 564.12 = 358.44 : x
  2. Step 2: Convert to fraction form
    375.72/564.12 = 358.44/x
  3. Step 3: Cross multiply
    375.72x = 564.12 × 358.44
  4. Step 4: Simplify right side
    375.72x = 202,203.17
  5. Step 5: Solve for x
    x = 202,203.17/375.72
  6. Step 6: Final answer
    x = 538.18

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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.