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Finding the Fourth Proportional to 520.47, 779.28 and 374.36

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Solution

The fourth proportional to 520.47, 779.28 and 374.36 is: 560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.47 : 779.28 = 374.36 : x
  2. Step 2: Convert to fraction form
    520.47/779.28 = 374.36/x
  3. Step 3: Cross multiply
    520.47x = 779.28 × 374.36
  4. Step 4: Simplify right side
    520.47x = 291,733.21
  5. Step 5: Solve for x
    x = 291,733.21/520.47
  6. Step 6: Final answer
    x = 560.52

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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.