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Finding the Fourth Proportional to 469.01, 648.10 and 359.25

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Solution

The fourth proportional to 469.01, 648.10 and 359.25 is: 496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.01 : 648.10 = 359.25 : x
  2. Step 2: Convert to fraction form
    469.01/648.10 = 359.25/x
  3. Step 3: Cross multiply
    469.01x = 648.10 × 359.25
  4. Step 4: Simplify right side
    469.01x = 232,831.59
  5. Step 5: Solve for x
    x = 232,831.59/469.01
  6. Step 6: Final answer
    x = 496.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.