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Finding the Fourth Proportional to 358.07, 533.71 and 346.22

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Solution

The fourth proportional to 358.07, 533.71 and 346.22 is: 516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.07 : 533.71 = 346.22 : x
  2. Step 2: Convert to fraction form
    358.07/533.71 = 346.22/x
  3. Step 3: Cross multiply
    358.07x = 533.71 × 346.22
  4. Step 4: Simplify right side
    358.07x = 184,781.08
  5. Step 5: Solve for x
    x = 184,781.08/358.07
  6. Step 6: Final answer
    x = 516.05

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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.