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Finding the Fourth Proportional to 496.50, 740.64 and 459.96

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Solution

The fourth proportional to 496.50, 740.64 and 459.96 is: 686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.50 : 740.64 = 459.96 : x
  2. Step 2: Convert to fraction form
    496.50/740.64 = 459.96/x
  3. Step 3: Cross multiply
    496.50x = 740.64 × 459.96
  4. Step 4: Simplify right side
    496.50x = 340,664.77
  5. Step 5: Solve for x
    x = 340,664.77/496.50
  6. Step 6: Final answer
    x = 686.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.