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Finding the Fourth Proportional to 525.68, 786.36 and 320.24

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Solution

The fourth proportional to 525.68, 786.36 and 320.24 is: 479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.68 : 786.36 = 320.24 : x
  2. Step 2: Convert to fraction form
    525.68/786.36 = 320.24/x
  3. Step 3: Cross multiply
    525.68x = 786.36 × 320.24
  4. Step 4: Simplify right side
    525.68x = 251,823.93
  5. Step 5: Solve for x
    x = 251,823.93/525.68
  6. Step 6: Final answer
    x = 479.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.