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Finding the Fourth Proportional to 623.07, 934.80 and 493.13

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Solution

The fourth proportional to 623.07, 934.80 and 493.13 is: 739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.07 : 934.80 = 493.13 : x
  2. Step 2: Convert to fraction form
    623.07/934.80 = 493.13/x
  3. Step 3: Cross multiply
    623.07x = 934.80 × 493.13
  4. Step 4: Simplify right side
    623.07x = 460,977.92
  5. Step 5: Solve for x
    x = 460,977.92/623.07
  6. Step 6: Final answer
    x = 739.85

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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.