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Finding the Fourth Proportional to 433.72, 595.62 and 371.55

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Solution

The fourth proportional to 433.72, 595.62 and 371.55 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.72 : 595.62 = 371.55 : x
  2. Step 2: Convert to fraction form
    433.72/595.62 = 371.55/x
  3. Step 3: Cross multiply
    433.72x = 595.62 × 371.55
  4. Step 4: Simplify right side
    433.72x = 221,302.61
  5. Step 5: Solve for x
    x = 221,302.61/433.72
  6. Step 6: Final answer
    x = 510.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.