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Finding the Fourth Proportional to 623.92, 934.92 and 460.84

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Solution

The fourth proportional to 623.92, 934.92 and 460.84 is: 690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.92 : 934.92 = 460.84 : x
  2. Step 2: Convert to fraction form
    623.92/934.92 = 460.84/x
  3. Step 3: Cross multiply
    623.92x = 934.92 × 460.84
  4. Step 4: Simplify right side
    623.92x = 430,848.53
  5. Step 5: Solve for x
    x = 430,848.53/623.92
  6. Step 6: Final answer
    x = 690.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.