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Finding the Fourth Proportional to 459.97, 688.35 and 376.74

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Solution

The fourth proportional to 459.97, 688.35 and 376.74 is: 563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.97 : 688.35 = 376.74 : x
  2. Step 2: Convert to fraction form
    459.97/688.35 = 376.74/x
  3. Step 3: Cross multiply
    459.97x = 688.35 × 376.74
  4. Step 4: Simplify right side
    459.97x = 259,328.98
  5. Step 5: Solve for x
    x = 259,328.98/459.97
  6. Step 6: Final answer
    x = 563.80

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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.