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Finding the Fourth Proportional to 587.42, 810.23 and 377.25

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Solution

The fourth proportional to 587.42, 810.23 and 377.25 is: 520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.42 : 810.23 = 377.25 : x
  2. Step 2: Convert to fraction form
    587.42/810.23 = 377.25/x
  3. Step 3: Cross multiply
    587.42x = 810.23 × 377.25
  4. Step 4: Simplify right side
    587.42x = 305,659.27
  5. Step 5: Solve for x
    x = 305,659.27/587.42
  6. Step 6: Final answer
    x = 520.35

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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.