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Finding the Fourth Proportional to 432.49, 597.24 and 277.51

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Solution

The fourth proportional to 432.49, 597.24 and 277.51 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.49 : 597.24 = 277.51 : x
  2. Step 2: Convert to fraction form
    432.49/597.24 = 277.51/x
  3. Step 3: Cross multiply
    432.49x = 597.24 × 277.51
  4. Step 4: Simplify right side
    432.49x = 165,740.07
  5. Step 5: Solve for x
    x = 165,740.07/432.49
  6. Step 6: Final answer
    x = 383.22

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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.