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Finding the Fourth Proportional to 587.58, 810.90 and 338.98

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Solution

The fourth proportional to 587.58, 810.90 and 338.98 is: 467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.58 : 810.90 = 338.98 : x
  2. Step 2: Convert to fraction form
    587.58/810.90 = 338.98/x
  3. Step 3: Cross multiply
    587.58x = 810.90 × 338.98
  4. Step 4: Simplify right side
    587.58x = 274,878.88
  5. Step 5: Solve for x
    x = 274,878.88/587.58
  6. Step 6: Final answer
    x = 467.82

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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.