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Finding the Fourth Proportional to 523.43, 722.08 and 346.14

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Solution

The fourth proportional to 523.43, 722.08 and 346.14 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 722.08 = 346.14 : x
  2. Step 2: Convert to fraction form
    523.43/722.08 = 346.14/x
  3. Step 3: Cross multiply
    523.43x = 722.08 × 346.14
  4. Step 4: Simplify right side
    523.43x = 249,935.43
  5. Step 5: Solve for x
    x = 249,935.43/523.43
  6. Step 6: Final answer
    x = 477.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.