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Finding the Fourth Proportional to 496.34, 684.50 and 346.72

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Solution

The fourth proportional to 496.34, 684.50 and 346.72 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.34 : 684.50 = 346.72 : x
  2. Step 2: Convert to fraction form
    496.34/684.50 = 346.72/x
  3. Step 3: Cross multiply
    496.34x = 684.50 × 346.72
  4. Step 4: Simplify right side
    496.34x = 237,329.84
  5. Step 5: Solve for x
    x = 237,329.84/496.34
  6. Step 6: Final answer
    x = 478.16

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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.