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Finding the Fourth Proportional to 504.61, 696.27 and 280.52

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Solution

The fourth proportional to 504.61, 696.27 and 280.52 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.61 : 696.27 = 280.52 : x
  2. Step 2: Convert to fraction form
    504.61/696.27 = 280.52/x
  3. Step 3: Cross multiply
    504.61x = 696.27 × 280.52
  4. Step 4: Simplify right side
    504.61x = 195,312.78
  5. Step 5: Solve for x
    x = 195,312.78/504.61
  6. Step 6: Final answer
    x = 387.06

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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.