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Finding the Fourth Proportional to 587.32, 810.72 and 447.46

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Solution

The fourth proportional to 587.32, 810.72 and 447.46 is: 617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.32 : 810.72 = 447.46 : x
  2. Step 2: Convert to fraction form
    587.32/810.72 = 447.46/x
  3. Step 3: Cross multiply
    587.32x = 810.72 × 447.46
  4. Step 4: Simplify right side
    587.32x = 362,764.77
  5. Step 5: Solve for x
    x = 362,764.77/587.32
  6. Step 6: Final answer
    x = 617.66

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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.