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Finding the Fourth Proportional to 403.83, 602.82 and 375.30

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Solution

The fourth proportional to 403.83, 602.82 and 375.30 is: 560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.83 : 602.82 = 375.30 : x
  2. Step 2: Convert to fraction form
    403.83/602.82 = 375.30/x
  3. Step 3: Cross multiply
    403.83x = 602.82 × 375.30
  4. Step 4: Simplify right side
    403.83x = 226,238.35
  5. Step 5: Solve for x
    x = 226,238.35/403.83
  6. Step 6: Final answer
    x = 560.23

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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.