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Finding the Fourth Proportional to 540.06, 744.90 and 407.16

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Solution

The fourth proportional to 540.06, 744.90 and 407.16 is: 561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.06 : 744.90 = 407.16 : x
  2. Step 2: Convert to fraction form
    540.06/744.90 = 407.16/x
  3. Step 3: Cross multiply
    540.06x = 744.90 × 407.16
  4. Step 4: Simplify right side
    540.06x = 303,293.48
  5. Step 5: Solve for x
    x = 303,293.48/540.06
  6. Step 6: Final answer
    x = 561.59

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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.