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Finding the Fourth Proportional to 469.61, 648.14 and 352.16

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Solution

The fourth proportional to 469.61, 648.14 and 352.16 is: 486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.61 : 648.14 = 352.16 : x
  2. Step 2: Convert to fraction form
    469.61/648.14 = 352.16/x
  3. Step 3: Cross multiply
    469.61x = 648.14 × 352.16
  4. Step 4: Simplify right side
    469.61x = 228,243.98
  5. Step 5: Solve for x
    x = 228,243.98/469.61
  6. Step 6: Final answer
    x = 486.03

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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.