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Finding the Fourth Proportional to 674.62, 928.93 and 576.16

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Solution

The fourth proportional to 674.62, 928.93 and 576.16 is: 793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.62 : 928.93 = 576.16 : x
  2. Step 2: Convert to fraction form
    674.62/928.93 = 576.16/x
  3. Step 3: Cross multiply
    674.62x = 928.93 × 576.16
  4. Step 4: Simplify right side
    674.62x = 535,206.22
  5. Step 5: Solve for x
    x = 535,206.22/674.62
  6. Step 6: Final answer
    x = 793.35

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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.