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Finding the Fourth Proportional to 342.04, 512.80 and 284.14

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Solution

The fourth proportional to 342.04, 512.80 and 284.14 is: 425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.04 : 512.80 = 284.14 : x
  2. Step 2: Convert to fraction form
    342.04/512.80 = 284.14/x
  3. Step 3: Cross multiply
    342.04x = 512.80 × 284.14
  4. Step 4: Simplify right side
    342.04x = 145,706.99
  5. Step 5: Solve for x
    x = 145,706.99/342.04
  6. Step 6: Final answer
    x = 425.99

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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.