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Finding the Fourth Proportional to 432.51, 597.02 and 267

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Solution

The fourth proportional to 432.51, 597.02 and 267 is: 368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.51 : 597.02 = 267 : x
  2. Step 2: Convert to fraction form
    432.51/597.02 = 267/x
  3. Step 3: Cross multiply
    432.51x = 597.02 × 267
  4. Step 4: Simplify right side
    432.51x = 159,403.01
  5. Step 5: Solve for x
    x = 159,403.01/432.51
  6. Step 6: Final answer
    x = 368.55

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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.