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Finding the Fourth Proportional to 469.06, 646.82 and 282.58

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Solution

The fourth proportional to 469.06, 646.82 and 282.58 is: 389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.06 : 646.82 = 282.58 : x
  2. Step 2: Convert to fraction form
    469.06/646.82 = 282.58/x
  3. Step 3: Cross multiply
    469.06x = 646.82 × 282.58
  4. Step 4: Simplify right side
    469.06x = 182,778.40
  5. Step 5: Solve for x
    x = 182,778.40/469.06
  6. Step 6: Final answer
    x = 389.67

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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.