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Finding the Fourth Proportional to 432.36, 648.18 and 295.02

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Solution

The fourth proportional to 432.36, 648.18 and 295.02 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.36 : 648.18 = 295.02 : x
  2. Step 2: Convert to fraction form
    432.36/648.18 = 295.02/x
  3. Step 3: Cross multiply
    432.36x = 648.18 × 295.02
  4. Step 4: Simplify right side
    432.36x = 191,226.06
  5. Step 5: Solve for x
    x = 191,226.06/432.36
  6. Step 6: Final answer
    x = 442.28

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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.