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Finding the Fourth Proportional to 563.01, 840.58 and 485.89

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Solution

The fourth proportional to 563.01, 840.58 and 485.89 is: 725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.01 : 840.58 = 485.89 : x
  2. Step 2: Convert to fraction form
    563.01/840.58 = 485.89/x
  3. Step 3: Cross multiply
    563.01x = 840.58 × 485.89
  4. Step 4: Simplify right side
    563.01x = 408,430.63
  5. Step 5: Solve for x
    x = 408,430.63/563.01
  6. Step 6: Final answer
    x = 725.44

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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.