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Finding the Fourth Proportional to 469.80, 648.36 and 295.11

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Solution

The fourth proportional to 469.80, 648.36 and 295.11 is: 407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.80 : 648.36 = 295.11 : x
  2. Step 2: Convert to fraction form
    469.80/648.36 = 295.11/x
  3. Step 3: Cross multiply
    469.80x = 648.36 × 295.11
  4. Step 4: Simplify right side
    469.80x = 191,337.52
  5. Step 5: Solve for x
    x = 191,337.52/469.80
  6. Step 6: Final answer
    x = 407.27

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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.