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Finding the Fourth Proportional to 469.35, 652.88 and 460.44

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Solution

The fourth proportional to 469.35, 652.88 and 460.44 is: 640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.35 : 652.88 = 460.44 : x
  2. Step 2: Convert to fraction form
    469.35/652.88 = 460.44/x
  3. Step 3: Cross multiply
    469.35x = 652.88 × 460.44
  4. Step 4: Simplify right side
    469.35x = 300,609.77
  5. Step 5: Solve for x
    x = 300,609.77/469.35
  6. Step 6: Final answer
    x = 640.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.