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Finding the Fourth Proportional to 539.84, 744.88 and 466.72

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Solution

The fourth proportional to 539.84, 744.88 and 466.72 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.84 : 744.88 = 466.72 : x
  2. Step 2: Convert to fraction form
    539.84/744.88 = 466.72/x
  3. Step 3: Cross multiply
    539.84x = 744.88 × 466.72
  4. Step 4: Simplify right side
    539.84x = 347,650.39
  5. Step 5: Solve for x
    x = 347,650.39/539.84
  6. Step 6: Final answer
    x = 643.99

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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.