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Finding the Fourth Proportional to 469.90, 648.57 and 304.30

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Solution

The fourth proportional to 469.90, 648.57 and 304.30 is: 420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.90 : 648.57 = 304.30 : x
  2. Step 2: Convert to fraction form
    469.90/648.57 = 304.30/x
  3. Step 3: Cross multiply
    469.90x = 648.57 × 304.30
  4. Step 4: Simplify right side
    469.90x = 197,359.85
  5. Step 5: Solve for x
    x = 197,359.85/469.90
  6. Step 6: Final answer
    x = 420.00

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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.