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Finding the Fourth Proportional to 459.48, 629.01 and 457.96

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Solution

The fourth proportional to 459.48, 629.01 and 457.96 is: 626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 629.01 = 457.96 : x
  2. Step 2: Convert to fraction form
    459.48/629.01 = 457.96/x
  3. Step 3: Cross multiply
    459.48x = 629.01 × 457.96
  4. Step 4: Simplify right side
    459.48x = 288,061.42
  5. Step 5: Solve for x
    x = 288,061.42/459.48
  6. Step 6: Final answer
    x = 626.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.