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Finding the Fourth Proportional to 674.80, 929.04 and 508.84

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Solution

The fourth proportional to 674.80, 929.04 and 508.84 is: 700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.80 : 929.04 = 508.84 : x
  2. Step 2: Convert to fraction form
    674.80/929.04 = 508.84/x
  3. Step 3: Cross multiply
    674.80x = 929.04 × 508.84
  4. Step 4: Simplify right side
    674.80x = 472,732.71
  5. Step 5: Solve for x
    x = 472,732.71/674.80
  6. Step 6: Final answer
    x = 700.55

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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.