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Finding the Fourth Proportional to 432.16, 596.36 and 245.66

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Solution

The fourth proportional to 432.16, 596.36 and 245.66 is: 339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 596.36 = 245.66 : x
  2. Step 2: Convert to fraction form
    432.16/596.36 = 245.66/x
  3. Step 3: Cross multiply
    432.16x = 596.36 × 245.66
  4. Step 4: Simplify right side
    432.16x = 146,499.43
  5. Step 5: Solve for x
    x = 146,499.43/432.16
  6. Step 6: Final answer
    x = 339.00

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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.