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Finding the Fourth Proportional to 540.07, 744.96 and 407.50

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Solution

The fourth proportional to 540.07, 744.96 and 407.50 is: 562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.07 : 744.96 = 407.50 : x
  2. Step 2: Convert to fraction form
    540.07/744.96 = 407.50/x
  3. Step 3: Cross multiply
    540.07x = 744.96 × 407.50
  4. Step 4: Simplify right side
    540.07x = 303,571.20
  5. Step 5: Solve for x
    x = 303,571.20/540.07
  6. Step 6: Final answer
    x = 562.10

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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.