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Finding the Fourth Proportional to 563.45, 840.62 and 501.89

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Solution

The fourth proportional to 563.45, 840.62 and 501.89 is: 748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.45 : 840.62 = 501.89 : x
  2. Step 2: Convert to fraction form
    563.45/840.62 = 501.89/x
  3. Step 3: Cross multiply
    563.45x = 840.62 × 501.89
  4. Step 4: Simplify right side
    563.45x = 421,895.82
  5. Step 5: Solve for x
    x = 421,895.82/563.45
  6. Step 6: Final answer
    x = 748.78

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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.