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Finding the Fourth Proportional to 459.50, 688.83 and 419.42

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Solution

The fourth proportional to 459.50, 688.83 and 419.42 is: 628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.50 : 688.83 = 419.42 : x
  2. Step 2: Convert to fraction form
    459.50/688.83 = 419.42/x
  3. Step 3: Cross multiply
    459.50x = 688.83 × 419.42
  4. Step 4: Simplify right side
    459.50x = 288,909.08
  5. Step 5: Solve for x
    x = 288,909.08/459.50
  6. Step 6: Final answer
    x = 628.75

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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.