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Finding the Fourth Proportional to 564.06, 778.69 and 389.10

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Solution

The fourth proportional to 564.06, 778.69 and 389.10 is: 537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.06 : 778.69 = 389.10 : x
  2. Step 2: Convert to fraction form
    564.06/778.69 = 389.10/x
  3. Step 3: Cross multiply
    564.06x = 778.69 × 389.10
  4. Step 4: Simplify right side
    564.06x = 302,983.41
  5. Step 5: Solve for x
    x = 302,983.41/564.06
  6. Step 6: Final answer
    x = 537.15

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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.