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Finding the Fourth Proportional to 477.39, 715.37 and 346.64

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Solution

The fourth proportional to 477.39, 715.37 and 346.64 is: 519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.39 : 715.37 = 346.64 : x
  2. Step 2: Convert to fraction form
    477.39/715.37 = 346.64/x
  3. Step 3: Cross multiply
    477.39x = 715.37 × 346.64
  4. Step 4: Simplify right side
    477.39x = 247,970.55
  5. Step 5: Solve for x
    x = 247,970.55/477.39
  6. Step 6: Final answer
    x = 519.43

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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.