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Finding the Fourth Proportional to 525.60, 786.65 and 395.28

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Solution

The fourth proportional to 525.60, 786.65 and 395.28 is: 591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.60 : 786.65 = 395.28 : x
  2. Step 2: Convert to fraction form
    525.60/786.65 = 395.28/x
  3. Step 3: Cross multiply
    525.60x = 786.65 × 395.28
  4. Step 4: Simplify right side
    525.60x = 310,947.25
  5. Step 5: Solve for x
    x = 310,947.25/525.60
  6. Step 6: Final answer
    x = 591.60

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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.