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Finding the Fourth Proportional to 563, 844.74 and 302.94

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Solution

The fourth proportional to 563, 844.74 and 302.94 is: 454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 844.74 = 302.94 : x
  2. Step 2: Convert to fraction form
    563/844.74 = 302.94/x
  3. Step 3: Cross multiply
    563x = 844.74 × 302.94
  4. Step 4: Simplify right side
    563x = 255,905.54
  5. Step 5: Solve for x
    x = 255,905.54/563
  6. Step 6: Final answer
    x = 454.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.