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Finding the Fourth Proportional to 432.74, 597.29 and 266.88

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Solution

The fourth proportional to 432.74, 597.29 and 266.88 is: 368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.74 : 597.29 = 266.88 : x
  2. Step 2: Convert to fraction form
    432.74/597.29 = 266.88/x
  3. Step 3: Cross multiply
    432.74x = 597.29 × 266.88
  4. Step 4: Simplify right side
    432.74x = 159,403.42
  5. Step 5: Solve for x
    x = 159,403.42/432.74
  6. Step 6: Final answer
    x = 368.36

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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.