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Finding the Fourth Proportional to 495.54, 745.56 and 374.58

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Solution

The fourth proportional to 495.54, 745.56 and 374.58 is: 563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.54 : 745.56 = 374.58 : x
  2. Step 2: Convert to fraction form
    495.54/745.56 = 374.58/x
  3. Step 3: Cross multiply
    495.54x = 745.56 × 374.58
  4. Step 4: Simplify right side
    495.54x = 279,271.86
  5. Step 5: Solve for x
    x = 279,271.86/495.54
  6. Step 6: Final answer
    x = 563.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.