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Finding the Fourth Proportional to 459.73, 689.33 and 420.50

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Solution

The fourth proportional to 459.73, 689.33 and 420.50 is: 630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.73 : 689.33 = 420.50 : x
  2. Step 2: Convert to fraction form
    459.73/689.33 = 420.50/x
  3. Step 3: Cross multiply
    459.73x = 689.33 × 420.50
  4. Step 4: Simplify right side
    459.73x = 289,865.74
  5. Step 5: Solve for x
    x = 289,865.74/459.73
  6. Step 6: Final answer
    x = 630.51

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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.