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Finding the Fourth Proportional to 469.73, 648 and 407.48

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Solution

The fourth proportional to 469.73, 648 and 407.48 is: 562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.73 : 648 = 407.48 : x
  2. Step 2: Convert to fraction form
    469.73/648 = 407.48/x
  3. Step 3: Cross multiply
    469.73x = 648 × 407.48
  4. Step 4: Simplify right side
    469.73x = 264,043.80
  5. Step 5: Solve for x
    x = 264,043.80/469.73
  6. Step 6: Final answer
    x = 562.12

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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.