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Finding the Fourth Proportional to 357.16, 538.02 and 353.92

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Solution

The fourth proportional to 357.16, 538.02 and 353.92 is: 533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.16 : 538.02 = 353.92 : x
  2. Step 2: Convert to fraction form
    357.16/538.02 = 353.92/x
  3. Step 3: Cross multiply
    357.16x = 538.02 × 353.92
  4. Step 4: Simplify right side
    357.16x = 190,416.04
  5. Step 5: Solve for x
    x = 190,416.04/357.16
  6. Step 6: Final answer
    x = 533.14

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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.