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Finding the Fourth Proportional to 676.13, 932.76 and 436.74

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Solution

The fourth proportional to 676.13, 932.76 and 436.74 is: 602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.13 : 932.76 = 436.74 : x
  2. Step 2: Convert to fraction form
    676.13/932.76 = 436.74/x
  3. Step 3: Cross multiply
    676.13x = 932.76 × 436.74
  4. Step 4: Simplify right side
    676.13x = 407,373.60
  5. Step 5: Solve for x
    x = 407,373.60/676.13
  6. Step 6: Final answer
    x = 602.51

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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.