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Finding the Fourth Proportional to 507.76, 700.36 and 360.56

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Solution

The fourth proportional to 507.76, 700.36 and 360.56 is: 497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 700.36 = 360.56 : x
  2. Step 2: Convert to fraction form
    507.76/700.36 = 360.56/x
  3. Step 3: Cross multiply
    507.76x = 700.36 × 360.56
  4. Step 4: Simplify right side
    507.76x = 252,521.80
  5. Step 5: Solve for x
    x = 252,521.80/507.76
  6. Step 6: Final answer
    x = 497.33

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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.