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Finding the Fourth Proportional to 496.16, 743.78 and 313.02

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Solution

The fourth proportional to 496.16, 743.78 and 313.02 is: 469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.16 : 743.78 = 313.02 : x
  2. Step 2: Convert to fraction form
    496.16/743.78 = 313.02/x
  3. Step 3: Cross multiply
    496.16x = 743.78 × 313.02
  4. Step 4: Simplify right side
    496.16x = 232,818.02
  5. Step 5: Solve for x
    x = 232,818.02/496.16
  6. Step 6: Final answer
    x = 469.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.