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Finding the Fourth Proportional to 566.04, 781.74 and 418.44

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Solution

The fourth proportional to 566.04, 781.74 and 418.44 is: 577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.04 : 781.74 = 418.44 : x
  2. Step 2: Convert to fraction form
    566.04/781.74 = 418.44/x
  3. Step 3: Cross multiply
    566.04x = 781.74 × 418.44
  4. Step 4: Simplify right side
    566.04x = 327,111.29
  5. Step 5: Solve for x
    x = 327,111.29/566.04
  6. Step 6: Final answer
    x = 577.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.