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Finding the Fourth Proportional to 393.42, 592.30 and 340.50

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Solution

The fourth proportional to 393.42, 592.30 and 340.50 is: 512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.42 : 592.30 = 340.50 : x
  2. Step 2: Convert to fraction form
    393.42/592.30 = 340.50/x
  3. Step 3: Cross multiply
    393.42x = 592.30 × 340.50
  4. Step 4: Simplify right side
    393.42x = 201,678.15
  5. Step 5: Solve for x
    x = 201,678.15/393.42
  6. Step 6: Final answer
    x = 512.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.