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Finding the Fourth Proportional to 566.06, 780.66 and 389.05

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Solution

The fourth proportional to 566.06, 780.66 and 389.05 is: 536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 780.66 = 389.05 : x
  2. Step 2: Convert to fraction form
    566.06/780.66 = 389.05/x
  3. Step 3: Cross multiply
    566.06x = 780.66 × 389.05
  4. Step 4: Simplify right side
    566.06x = 303,711.90
  5. Step 5: Solve for x
    x = 303,711.90/566.06
  6. Step 6: Final answer
    x = 536.54

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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.