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Finding the Fourth Proportional to 566.26, 844.40 and 527.30

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Solution

The fourth proportional to 566.26, 844.40 and 527.30 is: 786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.26 : 844.40 = 527.30 : x
  2. Step 2: Convert to fraction form
    566.26/844.40 = 527.30/x
  3. Step 3: Cross multiply
    566.26x = 844.40 × 527.30
  4. Step 4: Simplify right side
    566.26x = 445,252.12
  5. Step 5: Solve for x
    x = 445,252.12/566.26
  6. Step 6: Final answer
    x = 786.30

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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.