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Finding the Fourth Proportional to 525.48, 786.96 and 409.08

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Solution

The fourth proportional to 525.48, 786.96 and 409.08 is: 612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.48 : 786.96 = 409.08 : x
  2. Step 2: Convert to fraction form
    525.48/786.96 = 409.08/x
  3. Step 3: Cross multiply
    525.48x = 786.96 × 409.08
  4. Step 4: Simplify right side
    525.48x = 321,929.60
  5. Step 5: Solve for x
    x = 321,929.60/525.48
  6. Step 6: Final answer
    x = 612.64

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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.