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Finding the Fourth Proportional to 357.21, 532.14 and 344.16

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Solution

The fourth proportional to 357.21, 532.14 and 344.16 is: 512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 532.14 = 344.16 : x
  2. Step 2: Convert to fraction form
    357.21/532.14 = 344.16/x
  3. Step 3: Cross multiply
    357.21x = 532.14 × 344.16
  4. Step 4: Simplify right side
    357.21x = 183,141.30
  5. Step 5: Solve for x
    x = 183,141.30/357.21
  6. Step 6: Final answer
    x = 512.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.