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Finding the Fourth Proportional to 566.03, 844.54 and 496.77

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Solution

The fourth proportional to 566.03, 844.54 and 496.77 is: 741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.03 : 844.54 = 496.77 : x
  2. Step 2: Convert to fraction form
    566.03/844.54 = 496.77/x
  3. Step 3: Cross multiply
    566.03x = 844.54 × 496.77
  4. Step 4: Simplify right side
    566.03x = 419,539.65
  5. Step 5: Solve for x
    x = 419,539.65/566.03
  6. Step 6: Final answer
    x = 741.20

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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.