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Finding the Fourth Proportional to 456.24, 684.12 and 342

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Solution

The fourth proportional to 456.24, 684.12 and 342 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.24 : 684.12 = 342 : x
  2. Step 2: Convert to fraction form
    456.24/684.12 = 342/x
  3. Step 3: Cross multiply
    456.24x = 684.12 × 342
  4. Step 4: Simplify right side
    456.24x = 233,969.04
  5. Step 5: Solve for x
    x = 233,969.04/456.24
  6. Step 6: Final answer
    x = 512.82

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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.