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Finding the Fourth Proportional to 587.64, 882.22 and 502.68

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Solution

The fourth proportional to 587.64, 882.22 and 502.68 is: 754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.64 : 882.22 = 502.68 : x
  2. Step 2: Convert to fraction form
    587.64/882.22 = 502.68/x
  3. Step 3: Cross multiply
    587.64x = 882.22 × 502.68
  4. Step 4: Simplify right side
    587.64x = 443,474.35
  5. Step 5: Solve for x
    x = 443,474.35/587.64
  6. Step 6: Final answer
    x = 754.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.