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Finding the Fourth Proportional to 563.86, 840.90 and 482.10

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Solution

The fourth proportional to 563.86, 840.90 and 482.10 is: 718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.86 : 840.90 = 482.10 : x
  2. Step 2: Convert to fraction form
    563.86/840.90 = 482.10/x
  3. Step 3: Cross multiply
    563.86x = 840.90 × 482.10
  4. Step 4: Simplify right side
    563.86x = 405,398.56
  5. Step 5: Solve for x
    x = 405,398.56/563.86
  6. Step 6: Final answer
    x = 718.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.