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Finding the Fourth Proportional to 375.12, 558.72 and 362.88

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Solution

The fourth proportional to 375.12, 558.72 and 362.88 is: 540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.12 : 558.72 = 362.88 : x
  2. Step 2: Convert to fraction form
    375.12/558.72 = 362.88/x
  3. Step 3: Cross multiply
    375.12x = 558.72 × 362.88
  4. Step 4: Simplify right side
    375.12x = 202,748.31
  5. Step 5: Solve for x
    x = 202,748.31/375.12
  6. Step 6: Final answer
    x = 540.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.