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Finding the Fourth Proportional to 469.72, 648.05 and 283.29

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Solution

The fourth proportional to 469.72, 648.05 and 283.29 is: 390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.72 : 648.05 = 283.29 : x
  2. Step 2: Convert to fraction form
    469.72/648.05 = 283.29/x
  3. Step 3: Cross multiply
    469.72x = 648.05 × 283.29
  4. Step 4: Simplify right side
    469.72x = 183,586.08
  5. Step 5: Solve for x
    x = 183,586.08/469.72
  6. Step 6: Final answer
    x = 390.84

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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.