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Finding the Fourth Proportional to 456.66, 630.54 and 301.50

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Solution

The fourth proportional to 456.66, 630.54 and 301.50 is: 416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.66 : 630.54 = 301.50 : x
  2. Step 2: Convert to fraction form
    456.66/630.54 = 301.50/x
  3. Step 3: Cross multiply
    456.66x = 630.54 × 301.50
  4. Step 4: Simplify right side
    456.66x = 190,107.81
  5. Step 5: Solve for x
    x = 190,107.81/456.66
  6. Step 6: Final answer
    x = 416.30

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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.