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Finding the Fourth Proportional to 432.35, 648.52 and 360.05

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Solution

The fourth proportional to 432.35, 648.52 and 360.05 is: 540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.35 : 648.52 = 360.05 : x
  2. Step 2: Convert to fraction form
    432.35/648.52 = 360.05/x
  3. Step 3: Cross multiply
    432.35x = 648.52 × 360.05
  4. Step 4: Simplify right side
    432.35x = 233,500.35
  5. Step 5: Solve for x
    x = 233,500.35/432.35
  6. Step 6: Final answer
    x = 540.08

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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.