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Finding the Fourth Proportional to 432.64, 648.80 and 176

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Solution

The fourth proportional to 432.64, 648.80 and 176 is: 263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.64 : 648.80 = 176 : x
  2. Step 2: Convert to fraction form
    432.64/648.80 = 176/x
  3. Step 3: Cross multiply
    432.64x = 648.80 × 176
  4. Step 4: Simplify right side
    432.64x = 114,188.80
  5. Step 5: Solve for x
    x = 114,188.80/432.64
  6. Step 6: Final answer
    x = 263.93

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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.