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Finding the Fourth Proportional to 520.48, 779.10 and 411.40

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Solution

The fourth proportional to 520.48, 779.10 and 411.40 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.48 : 779.10 = 411.40 : x
  2. Step 2: Convert to fraction form
    520.48/779.10 = 411.40/x
  3. Step 3: Cross multiply
    520.48x = 779.10 × 411.40
  4. Step 4: Simplify right side
    520.48x = 320,521.74
  5. Step 5: Solve for x
    x = 320,521.74/520.48
  6. Step 6: Final answer
    x = 615.82

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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.