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Finding the Fourth Proportional to 566.76, 781.98 and 389.88

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Solution

The fourth proportional to 566.76, 781.98 and 389.88 is: 537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 781.98 = 389.88 : x
  2. Step 2: Convert to fraction form
    566.76/781.98 = 389.88/x
  3. Step 3: Cross multiply
    566.76x = 781.98 × 389.88
  4. Step 4: Simplify right side
    566.76x = 304,878.36
  5. Step 5: Solve for x
    x = 304,878.36/566.76
  6. Step 6: Final answer
    x = 537.93

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