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Finding the Fourth Proportional to 432.15, 596.21 and 264.02

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Solution

The fourth proportional to 432.15, 596.21 and 264.02 is: 364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.15 : 596.21 = 264.02 : x
  2. Step 2: Convert to fraction form
    432.15/596.21 = 264.02/x
  3. Step 3: Cross multiply
    432.15x = 596.21 × 264.02
  4. Step 4: Simplify right side
    432.15x = 157,407.06
  5. Step 5: Solve for x
    x = 157,407.06/432.15
  6. Step 6: Final answer
    x = 364.24

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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.