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Finding the Fourth Proportional to 425.72, 587.03 and 369.96

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Solution

The fourth proportional to 425.72, 587.03 and 369.96 is: 510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.72 : 587.03 = 369.96 : x
  2. Step 2: Convert to fraction form
    425.72/587.03 = 369.96/x
  3. Step 3: Cross multiply
    425.72x = 587.03 × 369.96
  4. Step 4: Simplify right side
    425.72x = 217,175.77
  5. Step 5: Solve for x
    x = 217,175.77/425.72
  6. Step 6: Final answer
    x = 510.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.