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Finding the Fourth Proportional to 432.84, 597.42 and 277.32

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Solution

The fourth proportional to 432.84, 597.42 and 277.32 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 597.42 = 277.32 : x
  2. Step 2: Convert to fraction form
    432.84/597.42 = 277.32/x
  3. Step 3: Cross multiply
    432.84x = 597.42 × 277.32
  4. Step 4: Simplify right side
    432.84x = 165,676.51
  5. Step 5: Solve for x
    x = 165,676.51/432.84
  6. Step 6: Final answer
    x = 382.77

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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.