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Finding the Fourth Proportional to 498.63, 688.26 and 405.30

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Solution

The fourth proportional to 498.63, 688.26 and 405.30 is: 559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.63 : 688.26 = 405.30 : x
  2. Step 2: Convert to fraction form
    498.63/688.26 = 405.30/x
  3. Step 3: Cross multiply
    498.63x = 688.26 × 405.30
  4. Step 4: Simplify right side
    498.63x = 278,952.79
  5. Step 5: Solve for x
    x = 278,952.79/498.63
  6. Step 6: Final answer
    x = 559.44

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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.