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Finding the Fourth Proportional to 722.83, 996.51 and 457.14

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Solution

The fourth proportional to 722.83, 996.51 and 457.14 is: 630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.83 : 996.51 = 457.14 : x
  2. Step 2: Convert to fraction form
    722.83/996.51 = 457.14/x
  3. Step 3: Cross multiply
    722.83x = 996.51 × 457.14
  4. Step 4: Simplify right side
    722.83x = 455,544.58
  5. Step 5: Solve for x
    x = 455,544.58/722.83
  6. Step 6: Final answer
    x = 630.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.