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Finding the Fourth Proportional to 523.33, 722.31 and 346.32

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Solution

The fourth proportional to 523.33, 722.31 and 346.32 is: 478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.33 : 722.31 = 346.32 : x
  2. Step 2: Convert to fraction form
    523.33/722.31 = 346.32/x
  3. Step 3: Cross multiply
    523.33x = 722.31 × 346.32
  4. Step 4: Simplify right side
    523.33x = 250,150.40
  5. Step 5: Solve for x
    x = 250,150.40/523.33
  6. Step 6: Final answer
    x = 478.00

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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.