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Finding the Fourth Proportional to 495.76, 684.08 and 330.08

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Solution

The fourth proportional to 495.76, 684.08 and 330.08 is: 455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.76 : 684.08 = 330.08 : x
  2. Step 2: Convert to fraction form
    495.76/684.08 = 330.08/x
  3. Step 3: Cross multiply
    495.76x = 684.08 × 330.08
  4. Step 4: Simplify right side
    495.76x = 225,801.13
  5. Step 5: Solve for x
    x = 225,801.13/495.76
  6. Step 6: Final answer
    x = 455.46

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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.