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Finding the Fourth Proportional to 674.66, 928.67 and 508.82

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Solution

The fourth proportional to 674.66, 928.67 and 508.82 is: 700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.66 : 928.67 = 508.82 : x
  2. Step 2: Convert to fraction form
    674.66/928.67 = 508.82/x
  3. Step 3: Cross multiply
    674.66x = 928.67 × 508.82
  4. Step 4: Simplify right side
    674.66x = 472,518.68
  5. Step 5: Solve for x
    x = 472,518.68/674.66
  6. Step 6: Final answer
    x = 700.38

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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.