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Finding the Fourth Proportional to 563.58, 778.28 and 367.56

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Solution

The fourth proportional to 563.58, 778.28 and 367.56 is: 507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.58 : 778.28 = 367.56 : x
  2. Step 2: Convert to fraction form
    563.58/778.28 = 367.56/x
  3. Step 3: Cross multiply
    563.58x = 778.28 × 367.56
  4. Step 4: Simplify right side
    563.58x = 286,062.76
  5. Step 5: Solve for x
    x = 286,062.76/563.58
  6. Step 6: Final answer
    x = 507.58

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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.