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Finding the Fourth Proportional to 432.24, 648.01 and 294.94

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Solution

The fourth proportional to 432.24, 648.01 and 294.94 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 648.01 = 294.94 : x
  2. Step 2: Convert to fraction form
    432.24/648.01 = 294.94/x
  3. Step 3: Cross multiply
    432.24x = 648.01 × 294.94
  4. Step 4: Simplify right side
    432.24x = 191,124.07
  5. Step 5: Solve for x
    x = 191,124.07/432.24
  6. Step 6: Final answer
    x = 442.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.