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Finding the Fourth Proportional to 525.66, 725.15 and 408.41

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Solution

The fourth proportional to 525.66, 725.15 and 408.41 is: 563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.66 : 725.15 = 408.41 : x
  2. Step 2: Convert to fraction form
    525.66/725.15 = 408.41/x
  3. Step 3: Cross multiply
    525.66x = 725.15 × 408.41
  4. Step 4: Simplify right side
    525.66x = 296,158.51
  5. Step 5: Solve for x
    x = 296,158.51/525.66
  6. Step 6: Final answer
    x = 563.40

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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.