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Finding the Fourth Proportional to 587.54, 810.72 and 377.74

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Solution

The fourth proportional to 587.54, 810.72 and 377.74 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.54 : 810.72 = 377.74 : x
  2. Step 2: Convert to fraction form
    587.54/810.72 = 377.74/x
  3. Step 3: Cross multiply
    587.54x = 810.72 × 377.74
  4. Step 4: Simplify right side
    587.54x = 306,237.32
  5. Step 5: Solve for x
    x = 306,237.32/587.54
  6. Step 6: Final answer
    x = 521.22

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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.