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Finding the Fourth Proportional to 509.28, 703.34 and 378.06

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Solution

The fourth proportional to 509.28, 703.34 and 378.06 is: 522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 703.34 = 378.06 : x
  2. Step 2: Convert to fraction form
    509.28/703.34 = 378.06/x
  3. Step 3: Cross multiply
    509.28x = 703.34 × 378.06
  4. Step 4: Simplify right side
    509.28x = 265,904.72
  5. Step 5: Solve for x
    x = 265,904.72/509.28
  6. Step 6: Final answer
    x = 522.12

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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.