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Finding the Fourth Proportional to 566.29, 784.78 and 555.36

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Solution

The fourth proportional to 566.29, 784.78 and 555.36 is: 769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.29 : 784.78 = 555.36 : x
  2. Step 2: Convert to fraction form
    566.29/784.78 = 555.36/x
  3. Step 3: Cross multiply
    566.29x = 784.78 × 555.36
  4. Step 4: Simplify right side
    566.29x = 435,835.42
  5. Step 5: Solve for x
    x = 435,835.42/566.29
  6. Step 6: Final answer
    x = 769.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.